To hard-boil eggs, place the eggs in a single layer in a pan that has a lid. Add enough water so the eggs are covered with an inch of water.
6 eggs
Uncovered, bring the water to a roaring boil. Once it reaches a raging boil, turn off the heat and cover the pot. Let it sit for 10 minutes. Towards the end of the 10 minutes, fill a bowl with ice and cold water.
At the end of the 10 minutes, transfer the eggs from the pot to the ice water. Let sit for 5 minutes.
Gently crack the eggs by lightly tapping them on all sides on a counter. You want to create cracks without fully breaking the shell. Fill a bowl with water and add 10 drops of blue food coloring, stirring so it is fully incorporated into the water. Add the cracked eggs, and let them sit in the water for 2 - 12 hours in the refrigerator.
10 drops blue food coloring
Peel the hard-boiled eggs. Cut the hard-boiled eggs in half.
Put all of the yolks in a bowl. Mix in the mayonnaise, mustard, green food coloring, pepper, and salt until fully smooth. This can be done with a hand mixer using only one beater or a spoon. 1/4 cup mayonnaise, 1 teaspoon mustard, 1/8 teaspoon salt, 1/8 teaspoon pepper, 10 drops green food coloring
Put the mixture into a piping bag fitted with a star tip. (Or a plastic bag with the tip cut off.) Pipe it into the egg white halves. Top with black sesame seeds if desired. black sesame seeds