Prepare the eggs: Pour water into a pot and add a basket steamer. Place eggs in the basket, cover, and steam for 15 minutes.
Cool the eggs: Give the eggs an ice bath for five minutes.
Peel the eggs: Crack the eggs open and peel off the shell.
Prepare the filling: Cut the eggs in half. Extract all the yolks into a bowl. Add mayonnaise, mustard, and vinegar. Mix until consistent, then add salt and pepper until the mixture is nice and fluffy.
Fill the eggs: Pipe the yolk mixture back into the egg whites.