Place the eggs and sugar in a pan and whisk until light-colored and frothy.
Whisk in 2 cups of the milk until thoroughly blended.
Place the pan over medium heat, continuing to stir until the mixture thickens and coats the back of a wooden spoon -- about 5 minutes. If you are using a thermometer, the temperature should reach 160 degrees.
Remove the pan from the heat and let it stand for about 5 minutes.
Stir in the remaining 6 cups of milk, vanilla extract and nutmeg.
Refrigerate at least 2 hours to allow to cool completely before serving.