Prior to attempting this, I advise the obtaining the following trophies:
Why, you may ask? Because running through this game on hard with your Spidey's maxed out is comparable to playing this game on easy.
After you beat the game, go to chapter select, change the difficulty to "Hard" (square button) and start from the beginning. It will seriously be a walk in the park.
Questions, corrections and neg vote justifications in the comments field below.