I'm not sure what you define as a re-imagining, but despite some moves functioning very similar to the older games and there being a heavy nostalgic feel it's a completely original new game (well, aside from the IP of course). It's for up to 6 simultaneous players between couch and online co-op and is cross-platform (though I think PS4 has a couch limit of 4).
If you haven't seen the preview videos, hear 6-player and think "but wait, there's only four turtles".....yeah. There's a few extra playables in there