These instructions (via reddit) are meant for brewing a full 12-cup pot of coffee:

1. Wash a raw egg. Don't try to cook more than one at a time.

2. Place the egg—still in its shell—in the coffee grounds, right in the center. A minute or two after the coffee is done, take the egg out (careful, it's very hot) and run it under cool water.

3. Peel and eat.