Fill a wide skillet with 2 inches water and add distilled vinegar. Bring liquid to a rolling boil over high heat and reduce heat to a bare simmer. Poach eggs, 3 at a time, by breaking each one into a saucer and sliding it into the water. As each egg goes in, push white back immediately toward yolk with a large slotted spoon, moving egg gently, and simmer 3 minutes.