Heat large heavy-bottomed skillet or Dutch oven over medium heat until hot, about 2 minutes. Add butter and then add corn kernel bits. Cook, stirring occasionally, until corn is bright yellow and liquid has almost evaporated, about 5 minutes. Add green onions, cream, salt, sugar, and hot sauce. Cook, stirring occasionally, until thickened and spoon leaves a space when pan bottom is scraped, about 5 minutes. Transfer corn mixture to medium bowl. Stir in milk, then whisk in eggs, cornstarch and pepper pieces. Pour mixture into a buttered 8 by 8 inch baking dish.