Spider-Man is among heroes that has rather interesting take on the idea of what he could be used or playable in City of Heroes in terms of build wise, Spider-Man more often than not has been compared to Scrapper as the perfect definition of what his archetype would be in build wise and play style to it. Usually that's subjective but I will share my view on how an 'exact' Spider-Man build would be in City of Heroes. The builds can be in many ways, because of the beauty of City of Heroes giving us plenty of freedom, it gave us also the plenty of choices we could pick if we were to make a Spider-Man Build.
First,
Spider-Man's strength has been viewed differently from among different writers on how they view his strength in terms of characteristics and ways that it conveys, he possesses superhuman strength duo to basically do exactly what a spider would do in their porportionate size. Spider-Man can lift around 10 tons in normal condition of his strength with ease, but shown to push his strength further in times of stress or great motivations or emotional moments. Spider-Man's agility has been viewed as 'insanely' fast to the point he can dodge gunfire with no issues without using his Spider-Sense once. He even fought many powerful characters such as Hulk, Thor, Iron Man, and even Firelord who has shown to destroy planets and defeated him.
With all that gathered, the best description of Spider-Man would be a Dodge Tank. Mainly because of the feats has shown to demostrate insane levels of abilities he has accomplished without use of often in-need of a adrenaline rush unless lifting something very heavy. So the best archetype for this is Tanker, Tanker gives Spider-Man build exactly what I hoped for and can be used in many ways of being a tanker without trying to be heavily based on being a 'bulky' type or mighty-like if knowing what powers to pick.
Power wise, many would commonly pick Martial Arts for it, but despite being not really the 'right' choice in my opinion and mainly because how it doesn't fit him exactly that much. The best of two powers is either Street Justice or Super Strength. Street Justice gives you the vibe from Spider-Man being street-level and a heavy hitter that nobody should be messing around with, a good choice but most recommended is to pick Super Strength, mainly because it would work if handled in a good way, thankfully, the customization will allow you to pick different animation to seem-less bulky type and slow but more straight-forward like how Spider-Man is in combative wise.
Secondary wise would be to pick Super Reflexes, this is the most important use to pick because it compliments the build and also gives you the idea of being 'dodgey' while being a tank. With 'Focused Senses' it can be immediately the best choice for Spider-Sense that easily further compliments what you aim exactly for. This gives you the option to fight-on while avoiding attacks which Spider-Man has been viewed numerous times.
Costume is up to you, so you do what you like.
Now, Power Pools wise is more fun where you have the plenty of options to pick from to further increases the build. The best first choice is Leaping Pool, mainly because it further helps Super Reflexes and the acrobatics that Spider-Man carries with the characteristics such as agility. Super Jump is also included to give you the impression of him 'swinging' due to lacking of Swinging Travel power. Second is to pick Presence Pool, Spider-Man has been famous for his wisecracking personalities with jokes taunting his enemies. Presence gives you what you aim for that helps the group as well to distract which something Spider-Man is good at. Other Power Pool that is optional is to pick Speed Pool, only pick view that matters mostly in combative ways, such as Flurry and Hasten will come in handy for Spider-Man to deal with.
For Ancillary Power Pools, two ones that I recommend is Energy Mastery or Arctic Mastery. Energy Mastery is to pick Physical Perfection for Spider-Man's metabolism and durability and Focused Accuracy to always be right at the target when facing his enemies. If you pick Arctic Mastery, you can pretend it's your webbing that you use to 'web' your enemies up. I recommend picking Chillblain and Block of Ice which allows you to immoblize and slow your enemies down, you can color them and make them greyish or white to pretend it's webbing.
If you do a mission to face Lord Recluse's behalf, you will gain the option to get Patron Power Pools, most recommended is to pick Mace Mastery, this will give you literally webbing that you aim for. I recommend picking Web Envelope and Focused Accuary for obvious reasons to get web-shooters for the guy.
Now you can give him Ninja Run for agility purposes as for Travel Power wise.
This list should give you the definitive Spider-Man build, of course you can go with Scrapper if you like, but I heavily recommend go with Tanker to further get the build for Spider-Man, hell you can be take another archetype to create somewhat like a Spider-Man build, but that should be it! Enjoy!