Add the shredded mozzarella, cubed ham, cream, 5 eggs, salt, and pepper to a large bowl and mix the ingredients together.
Cut the crusts off all 16 slices of bread and arrange them in a 4x4 square on your work surface. Smooth out your future crust by running a rolling pin over the bread.
Place your quiche dish upside down in the center of the bread square. Trace a circle about ½ inch out from the edge of the dish and cut the excess bread off with a sharp knife or pizza cutter. Then flip the dish upside and press the crust into the bottom and edges.
Pour the ham and egg mixture over the crust and press 4 heat-resistant glass bowls into the liquid. Bake the dish for 25 minutes at 320°F.
Remove the quiche dish from the oven and remove the 4 glass bowls from the quiche. Crack 1 egg into each hollow and cook the dish for another 10 minutes at 360°F.