Step 1

Gently lower eggs into a large saucepan of boiling water. When water returns to a gentle boil, cook 7 minutes. Using a slotted spoon, transfer to a bowl of ice water and let cool 2 minutes (eggs may still be a little warm). Remove eggs from ice water and peel.

Step 2

Meanwhile, bring garlic, chiles, soy sauce, mirin, vinegar, and 2 cups water to a boil in a medium saucepan. Reduce heat; simmer 5 minutes. Remove from heat and add eggs. Let sit at least 1 hour.

Step 3

To serve, drain eggs, quarter, and sprinkle with sesame seeds if desired.

Step 4

Do Ahead: Eggs can be marinated 2 days ahead. Cover and chill.