Place eggs in a large pot, cover with 2 inches of water, and bring to a boil over high heat. Cover pot and remove from heat. Let stand 7 minutes. Transfer eggs to a bowl of ice water and let stand until chilled, about 10 minutes; drain.
Pour the 6 cups water into a large bowl. Stir in food coloring and vinegar until combined. Add eggs and let stand until deep red, about 2 hours. Lightly rinse eggs under running water and let dry on a paper towel-lined plate.
