Cut eggs in half lengthwise and spoon yolks into a bowl. Reserve whites. Mash yolks with a fork. Stir in mayonnaise, honey mustard and black pepper.
Reserve 1 tablespoon of the chopped olives. Fold remaining chopped olives into yolk mixture.
Fill whites with the yolk mixture. Sprinkle reserved chopped olives over the tops of the eggs. Refrigerate for at least 1 hour.