Cook: Place the rack and 1 cup of water in the Instant Pot, add eggs, seal, and pressure cook on high for 5 minutes.
Prep: Quick-release the pressure, then place eggs in cool water. Peel, dry, and halve the eggs lengthwise.
Fill: Mash yolks with mayonnaise, mustard, salt, and pepper. Spoon into whites, garnish with paprika and chives, and serve.