In a large pot, combine the water, butter, sugar and salt. Set to high heat and bring to a boil. Stir in the flour with a wooden spoon mix until a film forms on the bottom of the pan. Transfer the dough to a bowl and cool for 3-4 minutes. Add the eggs one at a time, stirring vigorously and completely incorporating each egg after each addition.
Transfer the dough to a piping bag fitted with a large, round piping tip and pipe 1 ½-inch rounds onto baking sheets lined with parchment paper. Wet your fingers and smooth any pointed peaks.
Bake them at 375F for 30 minutes. Cool on the pan for 10 minutes, then transfer to a wire rack and cool completely.