Preheat oven to 500 degrees F. Place rack in center of oven.
Partially cook the bacon in a pan, remove and set aside on paper towels.
Crack eggs into separate cups.
Stretch out your dough to desired shape and size. Dust parchment paper with a little cornmeal and lay your dough on top, reshaping and leaving a little more thickness on the edges.
Evenly arrange cheese and tomatoes on dough. Then add the bacon and basil. Lightly rub a tiny bit of olive oil on the edges.
Slide onto pizza stone and let cook for about 5 minutes. Carefully add the eggs, one at a time, to the center of the pizza and cook for about another 5 minutes until egg is at desired doneness and the dough is nicely browned on the edges.