Place the puff pastry slices next to each other and let them thaw for about 10 minutes. Meanwhile grate cheese finely. Whisk eggs and cream, season with pepper, nutmeg and a little salt. Lightly moisten a fat pan (approx. 32 x 39 cm) with cold water. Place the puff pastry slices on top of each other and roll out on a little flour to the size of the fat pan. Put the dough into the pan with the dough roller.
Press on the edge, prick the base several times with a fork. Sprinkle 2/3 of the ham cubes and whole cheese onto the dough. Pour egg cream over it. Sprinkle the rest of the diced ham on top. Bake in the preheated oven on the lower shelf (electric oven: 225 °C/ convection oven: 200 °C/ gas: level 4) for 15-18 minutes. Garnish with thyme