Stucked at full exploration done, base lvl 10, research lvl 10+. Dont understand what to do next..
This is a common friction point for a lot of users; it's not clearly communicated: Try to push your Fort to level 13 and explore afterward to proceed.
(This is going to get addressed in 0.6, which hopefully makes it as clear as necessary how and where to progress, not just at that point of the game, but throughout)
Good luck!