Preheat oven to 500 degrees F.
Butter a shallow baking dish or enamel-coated cast iron pan. Pour the cream into the bottom of the pan and swirl to coat the bottom well.
Crack the eggs and position them around the pan. Season with salt, pepper, and nutmeg.
Bake the eggs until set to your liking. In our oven, these eggs were cooked in 8 minutes. You will also notice the cream bubbles up and browns during the baking process.
Remove the eggs from the oven and sprinkle with your fresh herbs.
Serve with your favorite toasted bread. Drizzle any of the extra cream on top if desired.