Bring a pot of water to a boil, then add the eggs. Cook the eggs on MED-HIGH for 14 minutes until hard-boiled.
While the eggs are boiling, prepare an ice water bath. Once done, place the eggs in the ice bath until completely cooled.
Peel the hard-boiled eggs. Slice them in half lengthwise. Remove the yolks with a spoon. Place the yolks in a bowl.
Mash the yolks with a fork. Add the mayonnaise, mustard, vinegar, and season with salt and pepper. Mix well until smooth.