Place the eggs in a single layer in a saucepan and cover with cold water by about 1 inch.
Bring the water to a rolling boil over high heat. Once boiling, cover the pan and remove it from the heat; let the eggs sit in the hot water for 12 minutes.
Transfer the eggs to a bowl of ice water and cool until easy to handle, about 5 minutes; then peel and roughly chop.
In a mixing bowl, combine the chopped eggs, mayonnaise, diced dill pickles, dill pickle juice, and Dijon mustard.
Stir until evenly combined, then season with salt and black pepper to taste.
Serve immediately or chill briefly before serving.