The first chapter of the DLC series, The City That Never Sleeps, for PS4 exclusive Spider-Man, is called The Heist and stars none other than Black Cat (aka Felicia Hardy), the implications of Spidey having to chase down an old flame are clear and things may get a bit personal. The DLC drops next week on October 23. As you'd expect the DLC will also introduce new suits.
Original: But prior to that, we're getting update 1.07 tomorrow (October 17) which includes new features such as New Game+ (incentive to replay the game for those who have finished it), and Ultimate difficulty for those looking for a further challenge. The update also includes some further tweaks and bug fixes.
Update: Insomniac Games has now confirmed via Twitter that the update has been pushed back but that it's coming "soon". Hopefully in time for the DLC next week.