Line a baking tray with baking paper and place it in the preheated oven (electric cooker: 200 °C/ circulating air: 175 °C/ gas: level 3). Mix eggs, milk, mineral water and flour to a smooth dough.
Season with salt, pepper and thyme. Pluck basil leaves from 1 pot. Brush baking paper with oil. Spread basil leaves on top. Pour dough over it. Bake in the oven at the same temperature for 15-20 minutes.
In the meantime, pluck off the remaining basil leaves and chop them coarsely. Peel and chop the garlic. Puree basil, garlic, pine nuts, parmesan and olive oil. Season with salt and pepper. Wash and drain the rocket.
Remove the pancake tray from the oven. Spread ham and rocket on top. From the wide side, form a roll and cut into pieces. Add pesto and grilled peppers.