Here is a little clip of my red eye tetra and how he twitches. He and almost all the red eye tetra has done this since I fist got them 3 months ago.
http/www.youtube.com/watch?v=h9DpTgeGJK4&feature=player_embedded
Is that the only red eye in the tank? He could be displaying strange behaviour because he has no other red eyes/similar fish to interact with, also, they don't really enjoy very bright light without shade.