Hard boil your eggs: completely submerged eggs in the boiling water. Boil for 10 minutes. Remove eggs from the boiling water and place in a boil of ice water.
Next, peel the boiled eggs gently so the whites remain intact. I recommend doing this under running water. Slice the eggs in half lengthwise. Remove the egg yolks and place in a medium bowl, place the whites on a serving platter.
Using a fork, mash up the yellow yolks. Then add the mayonnaise, vinegar, salt, and pepper, stir until smooth. Fill each egg white with the yolk mixture with a spoon.
Create the spider legs by cutting an olive half length wise several times. Use an olive half for the spider body. Place the olive pieces on top of the egg yolk mixture