from my research, I believe that the tiger barbs are too aggressive and will chase and nip the tetras into oblivion. Generally if you really want to house these two species together, you must have a much larger school (like 15-20) of the tigers so that they chase each other rather than your tankmates.
no. the tiger barbs will harass the bleeding heart tetra,s which are already shy for tetras. in your size of tank, keep it tiger barbs only. they come in a couple of color forms so you dont ahve to have all of the same.