Consider carefully the advantages of high output LED's > 10K Candela's (High Efficiency). I have some 20K units that are hard on the eyes @ 1 mA and perfectly useful in a bright room @ 500 uA. ,02 A (20 mA) X 192 lights on batteries = 384 mA load current?. Yes IF you can only turn on one LED at a time, the trick is to do it fast enough to look like constant illumination. With 6 cells the battery voltage would be 9v X .384 mA is almost 3.5 W and this makes no allowances for the current drawn by the controller and the drivers.
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