Preheat oven to 375 degrees
Place the eggs into a bowl of hot tap water and let sit for 10 minutes
Cut the crusts off of all the slices of bread.
Using a rolling pin, gently roll out the rectangular shaped bread
Use your fingers to pinch in the two long ends together, then gently press the bread into a muffin tin, making sure to leave the 2 center cups empty.
Lightly brush bread with butter and bake until light brown.
From the center of the ham and cheese, cut a slit to one edge.
Spin the ham and cheese into cones and place in the muffin cups, cheese first.
Pour one egg into each ham and cheese cone,
Sprinkle with salt and pepper, then bake for 14 to 18 minute (until egg whites look moist and haven't set yet).
Remove eggs from oven and immediately transfer the tin to a wire rack. Tightly cover with aluminum foil and let sit for 5 minutes.