Gently bring a large pot of water to a simmer. Carefully lower in the eggs using a slotted spoon and cook for exactly 10 minutes until the yolks are firm.
Transfer the eggs immediately to an ice bath and let them cool for at least 10 minutes. This makes peeling easier and helps the eggs set.
Peel the eggs carefully, keeping the whites intact. Slice each egg in half lengthwise with a sharp knife.
Remove the yolks into a bowl and mash them with a fork. Mix in mayonnaise, Dijon mustard, olive oil, a tiny drop of red food coloring, and a pinch of salt until the mixture is vibrant and smooth.
Fill each egg white half with the yolk mixture using a piping bag or a spoon, smoothing the top for a clean, rounded appearance.
Cut small circles from olives or pimentos for the pupils. Use a toothpick or small scissors to shape tiny pupils and press them into the yolk filling to resemble creepy eyes.
Lightly dust the eggs with paprika or smoked paprika for a bloodshot, veiny look. Chill the eggs in the fridge for 15 minutes to set before serving for maximum creepiness and flavor.