1. Preheat oven to 400°.
2. Combine yogurt and flour in a large bowl, stirring well. Add turnip, Gruyère cheese, butter, chives, 1 1/4 teaspoons salt, black pepper, nutmeg, and potatoes to yogurt mixture. Spread potato mixture evenly into a 13 x 9–inch baking dish coated with cooking spray. Bake at 400° for 30 minutes or until bubbly. Remove from oven. With the back of a spoon, make 8 indentations in top of potato mixture. Crack 1 egg into each of 8 indentations. Return dish to oven. Bake at 400° for 8 minutes or until egg whites are firm and yolks barely move when pan is touched. Cut into 8 pieces. Garnish with additional chives and black pepper, if desired. Serve immediately.