Cover eggs with cold water and bring to a rolling boil, partially covered. Reduce heat to low and cook eggs, covered completely, 30 seconds. Remove from heat and let stand, covered, 15 minutes. Transfer eggs with a slotted spoon to a bowl of ice and cold water to stop cooking and let stand 5 minutes. Peel eggs and halve lengthwise. Carefully remove yolks and eat only the egg whites.