Make marinade: Mix all the marinade ingredients in a bowl and set aside.
Soft boiled eggs: Bring a large pot of water to a boil. Add vinegar for easier peeling, then gently lower each egg into the pot. Set a timer for 6 minutes for room temperature eggs or 7 minutes for cold eggs. See Note 2.Stir the eggs in one direction for the first 30 seconds for an even cross section.
Peel eggs: After timer is up, place the eggs in an ice bath to stop cooking. Once cooled, crack the shell all over and carefully peel by inserting a spoon between the egg and shell.
Marinate eggs: Add the eggs in a container and pour the marinade on top. For best flavor, let it marinate overnight in the fridge.
Serve: To serve, cut each egg in half and drizzle toasted sesame oil on top before enjoying.