Place eggs into a saucepan and cover with cold water. Bring water to a boil, then immediately remove from the heat. Cover and let eggs stand in hot water for 10 to 12 minutes. Remove from hot water, cool under cold running water, and peel.
Cut eggs in half lengthwise and carefully remove yolks.
Place yolks into a bowl with mayonnaise, pepper, ranch mix, and mustard; mash and blend until smooth. Spoon mixture neatly into egg white halves and garnish with paprika. Chill for 1 hour before serving.