Place the eggs in a large pot and cover them with cold water. Bring to a boil.
When the water reaches a hard boil, remove the pot from the heat and cover it with a lid. Let the eggs sit, covered, for 11 minutes.
Move the eggs to a bowl of ice water to cool, then peel them. Refrigerate the peeled eggs for at least 3 hours, until cold.
Chop the cold eggs and add them to a medium bowl. Add the mayonnaise, relish, Dijon, salt and pepper and stir until mixed well.
Cover and chill at least 1 hour before serving.
Notes
Cold eggs: Chill the peeled eggs completely before mixing so the egg salad stays thick and creamy.Make ahead: Make it the night before and keep it covered in the fridge.Storage: Keep leftovers in an airtight container in the fridge for 3 to 4 days. Don’t freeze it.