Open Lobster Pie

Name: Open Lobster Pie
Yield: Serves Four
Ingredients: 4 tbsp chopped basil; sea salt & black pepper; 1 pinch of freshly grated nutmeg; 3 cooked lobsters, just the meat, chunkily chopped; 150 g salted butter, softened; 1 egg, beaten; 3 whole eggs plus 2 egg yolks, lightly whisked together; 425 ml double cream; 100 g grated Cheddar cheese; 1 tsp sugar; 1 tsp salt; 250 g plain flour