Jewish Apple Muffins

Name: Jewish Apple Muffins
Ingredients: 1 tablespoon turbinado sugar; 1/2 cup toasted walnuts, chopped fine (about 1/4 cup); 1 medium apple, peeled, halved, cored, and chopped, into 1/4-inch pieces; 1 cup (7 oz.) light brown sugar; 1 1/2 cups (7 1/2 oz.) unbleached all-purpose flour; 1 teaspoon baking powder; 1/2 teaspoon baking soda; 1/4 teaspoon table salt; 1 teaspoon ground cinnamon; 1/2 teaspoon freshly grated nutmeg; 2 large eggs; 1/2 cup apple cider; 1/4 cup unsweetened applesauce; 4 tablespoons apple butter