Notes

Equipment is key here, and you'll notice I don't have everything to Epic. That's simply a cost-benefit, and I will get there someday. The majority of the damage and skill benefit comes from upgrading mark. Adding Rarity on Deflector, Secondary Deflector, Impulse, Warp, and Shields adds only the additional modifier(s), which in general are a small contribution to the build. 

A lot of this gear is the same as what you would see on the Exotic Basics page, but I'll go through it anyways just in case. 

Fore Weapons

For weapons, I chose torpedoes in the front, and overall bonuses in the rear. This lets me really set my Weapon power to a lower setting since I don't need it to boost damage from my one energy weapon. The Particle Emitting Plasma (PEP) torp and Gravimetric (Gravy) torp are both top tier EPG weapons as they have at least some part of their overall damage that scales with EPG. The clouds from the PEP and the rifts from the Gravy do a lot of damage in a small AoE, and scale with EPG which I have a ton of. The Delphic torpedo is the third torp, and as such the least-firing. It is slotted for the debuff (since I use it on my support as well) and has a solid -DRR based on firing modes. Note that these are feeding into the Exotic theme of the build, and are not there for the Projectile kinetic damage they afford. 

Rear Weapons

In the rear, there are a few options that would work above and beyond what I have chosen. The Altamid omni is there for the proc, which happens every time it lands a critical hit: -15 plasma and kinetic DRR. While not as often occurring as the Advanced Inhibiting omni, it should still be pretty often. Its also a little stronger (-15 vs -10) to two of my stronger damage sources. I also get +1% CrtH to everything from slotting the Altamid. If on a budget, Advanced Inhibiting will work just fine. 

The Black Ops mines replace the Nukara Mines I used to use. While on theme, the Nukara Mines don't really add anything to the build. The Black Ops mines work with Resonating Payload Modification, which I already had slotted, and add many extra stacks. This really amps up the -Kinetic DRR. On a budget, you could slot another Advanced Inhibiting here (such as the turret alongside the beam). 

The Dark Matter torpedo is in the rear! This has a major drawback of rarely firing, but it will be strong if/when it does. I mainly go for the set bonus from the Lorca console. If I didn't have the Lorca console slotted, the Dark Matter torpedo would absolutely not be worth slotting. 

Drivetrain (Deflectors/Engines/Core/Shields)

You could go Solanae Deflector for more EPG, but the extra CrtH/CrtD here outweighs the slight EPG increase. 53.1 is the max Solanae EPG, which translates to 10.62% CrtH and 5.31% CrtD, whereas the Colony has 15% CrtD and 4% CrtH to everything, Exotic or not. It also has a Mod of EPG for a nice 10 or so. I also have close to 400 EPG already, so the CrtH portion of the Solanae is really 0, and the colony CrtH doesn't care about the Particle Manipulator cap. Now, with Exotic Particle Amplifiers (Advanced Console), 500 EPG is beneficial, but the extra 40 EPG on the amplifiers is not as beneficial as the extra CrtD and CrtH, especially since I only have the one Amplifier. The Cat2 for non-BOff powers goes from 11.6% to 12.9%, which is not very impactful. If I had several Amplifiers, it might be more beneficial, but since I only have the one, it is not. 

Deteriorating Secondary Deflector (DSD) is the only option, as the Inhibiting and Resonating do far less damage. There are a couple options for Mods, and those are just preference. I've had this one since before the Colony one was an option, and I am not sure the value is there for me to switch and upgrade for a single mod. Each of the mods only affords about 10 to the selected skill, so don't chase mods here first. However, the damage from the DSD does scale with Mark of the DSD, so this is a high priority to get to at least Mark XV even if other gear doesn't get there right away.

The Engines and Warp Core go together for the 2pc set from the Revolutionary set. This was an event reward for me, and if you didn't get it, don't worry. The Temporal Reputation set that also fills these same slots is also a solid option, just not as strong. The 2pc set turns all of your Weapon Amplification skill into (essentially) Exotic Amplification, so I get about 50% CrtD to exotics from this 2pc set. 

The shields are more of a free slot. I chose to go with the Regenerative Crystal shields, which are free and freely distribute shields like Tactical Team would. You could slot the Revolutionary Shields here for the 3pc, or the Tilly Shields to increase shield damage. If you had the Temporal set, then the Temporal Shield would allow you to slot a different engine or core as needed. 

Devices

Exotic Particle Flood is the most powerful consumable battery, which are easily crafted from the Science R&D school. I have the advanced ones because I generate a lot of Loops from running Elite queues. Kobyashi Maru is a nice to have since I ran the event, but totally not worth getting from Mudd's. Deuterium is also consumable but easily crafted and is an Evasive Maneuvers in a can, just in case my real Evasive Maneuvers is on cooldown. Past this, other options are pretty trivial and depend on what you have available. You can't go wrong with Auxiliary Batteries if you are on a budget. 

Notes

I love the Web Cannon. I like the Webspinner as well, but it is far less effective than the Web Cannon. Regardless, there are probably better choices than the Web Cannon, but for this build, this is the anchor on which I designed the rest of the build. With the proper sequence of activations, I have gotten over 100k DPS in one shot of the Web Cannon. For reference, that is over 13,000,000 cumulative damage.

Exclusions

With the Web Cannon as the target, I chose things that would enhance it as well as the rest of the build. For starters, here are a few top contenders that aren't on this build. 

Cutting Tractor Beam is often touted as a great boon to Universal Console builds, and there was a time that was true. It used to have several consoles that would quickly hit all 10 stacks, such as DPRM and Delphic Tear. Now, in general, one clicky gets one stack, and as you'll see, I have shied away from a ton of clickies on my build. This means that in general, I can't get anywhere near max stacks from this console, and the clicky itself is unimpressive. 

Speaking of DPRM, I used to have it slotted as well. I certainly didn't throw it away, but decided it wasn't the best use of a console slot. The clicky is Cat2 damage, but the passive was useless on my exotic build. This also lowers the overall cost of entry to this build (which is already quite high). There are enough other consoles with better passives and good if not better active powers that I decided it was time to drop this from my build. 

The Webspinner also used to be on this build, and it is very much on-theme for what I am going for with the build. However, the "on hold" portion of the passive of the Webspinner doesn't work for exotics, and the damage output of the Webspinner has been patched to a much lower and less effective level. I'd love to be able to slot it, but it's simply not very good. 

Passive Consoles

Before we get into the clicky consoles I did slot, I want to talk about the passive consoles I used. You'll notice I chose to not fill up the science console slots with science consoles, and there's no real reason I didn't take up all 6 slots (5 sci + 1 uni) with science consoles. The passives might be a bit stronger, but I lose out on the active powers. I may yet tune this further in the future to a higher number of science consoles and fewer clickies, but for now, I have the balance I am looking for. 

I dedicated 4 console slots to science consoles. Using math we've already done elsewhere, the first two consoles are Exotic Particle Focusers, which end up building more Cat2 exotic than Amplifiers in the same slots would. However, we quickly get diminishing returns slotting further focusers. I do also have an Exotic Particle Exciter [EPG] which nets nearly 80 EPG from one console slot. This is pretty rare, and if I didn't have it, I would slot two Amplifiers. If you have fewer of the Universal consoles that I have chosen, further slots can be filled with Amplifiers as well. As such, I have 2 Focusers, 1 Amplifier, and 1 Exciter [EPG]. 

There's two other passive consoles I chose, these being in the Tactical slots. The Fek'ihri Torment Engine (Toaster) has some great passives for Fire/Radiation/Plasma/Physical damage, as well as DoTs. This means that the Web Cannon actually benefits from both halves of the Toaster for nearly 80% Cat1 damage. This also benefits several other clickies and powers, such as the Secondary Deflector so is a great free choice for Science builds. 

The other Tactical console I have slotted is the Lorca's Custom Fire Controls. This gives us CrtH for everything, as well as the CrtD from the 2pc with the torpedo from earlier. The shield penetration certainly helps the torpedoes, but isn't a huge part of my damage output. I could see this as take it or leave it, but it was an easy slot since I already have it for other builds. 

Active "Clicky" Consoles

With the Web Cannon, 4 Science Consoles, and 2 Tactical consoles filled, we have 5 console slots left. I could pick up another slot if I had a T6X2 available, but those are harder to come by than the T6X I've done on so many builds. Delphic Tear is at the top of my list, both due to the clicky power and the strong passive. Similarly, the Genesis Seed and Dragonsblood Flame Reactor both have strong passives and actives. While they don't directly boost the Web Cannon, they do boost other portions of the build and do strong damage on their own. Temporal Vortex Probe and Neutronic Eddies are not as strong of a clicky, but do have solid passives and are free if you have them. If you didn't do the events for them, they are pretty expensive pickups that can be pretty well outclassed. 

Notes

Since my focus is on the clicky powers and exotic damage, the Bridge Officer selections need to support that. Spore-Infused Anomalies (starship trait) keys off Anomalies and science powers, so when possible these were maximized. I also add several control powers to increase the uptime of Clicky consoles. 

Tractor Beam is a "mule" power, useless on its own, but when combined with Unconventional Systems, it helps reduce cooldown on all of my clicky consoles. Tyken's rift is also here for the Secondary Deflector, and is used in the off cycle with Gravity well. It is stronger damage but no pull, and also an anomaly for Spore Infused Anomalies. 

Miscellaneous