I'll repeat what the others have said for the most part.
Does the bike sputter or misfire at all when it gets near 6K? Or does it just seem to slow and not go above?
If it is sputtery, I'd start with the checking the points and condensor. If not, it is possible that you got an air leak (it doesn't take much, a tiny pinhole in the diaphragm can do it) or some other malfunction in the carb that is preventing full fuel/air flow from the main jet. Has anyone recently worked on the carbs? Also (without engine running) make sure that the cables and twist grip do allow for the full travel of the throttle levers on the inside edge of the carbs - if they won't go full travel, the issue may be simply cable /throttle tube adjustment (improper placement of the pull chain in the twist grip assembly could also do it).