Here is a simple egg generator. Over time each block will produce eggs. There are 4 tiers available each faster than the last.
This was made mainly as a standalone block to help servers. It's far more performant to have a single block ticking then it is a having multiple chicken farms with far too many chickens.
The block itself has no gui you need to place it on top of a hopper or other item extracting block to extract the eggs.
But feel free to use as you will.