Whisk eggs and pepper flakes together in a bowl. Stir in tomatoes, feta, and basil.

Heat olive oil in a nonstick skillet over high heat until starting to shimmer. Pour egg mixture into hot oil and cook, without stirring, for 5 seconds.

Cook and stir egg mixture until eggs are scrambled and softly set, about 30 seconds. Transfer to a plate and sprinkle with sea salt.