Animating multiple objects going in a loop

Currently I have a large cube with some smaller cubes on four of the large cubes faces. I also have an animation in which the smaller cubes slide from one side of the face to the other, then slide across the next face to the next edge and so on until they return to the starting point, where they will begin again. My problem is, I would like to apply this animation to all the cubes I have (2 per face), however, they all have different starting positions. So when I give them all the animation, they jump to the same start point and move round as one small cube. Is there anyway tell the other cubes to start the animation at a later stage, or will I need to create a new animation for each of the cubes??

Thanks in advance!! :)