Counterfeit Coin Problem v2.0

You are presented with a set of 11 suspect coins. Of these, it is known that the number of counterfeit coins is either 0, 1 or 2. Each of the counterfeit coins, if any, is known to have come from one of two batches of coins, one of which is too light and the other of which is too heavy. It is also known that a light coin and a heavy coin, taken together, weigh exactly the same as two normal coins. You must identify the counterfeit coins, if any, after 5 weighings or less.

Also take into account that the first weighing will *ALWAYS* balance.

Can anyone come up with a solution?