01 - Preheat the oven to 430°F. Line a large baking sheet with parchment paper. Arrange zucchini, bell peppers, red onion, and eggplant on the sheet. Drizzle with olive oil, season with salt and pepper, and toss to coat evenly.
02 - Roast the vegetables for 20 to 25 minutes, turning once halfway through, until golden and tender. Remove from oven and set aside. Reduce oven temperature to 375°F.
03 - Unroll the puff pastry and press it into a 9-inch tart pan, trimming any excess dough. Prick the base several times with a fork to prevent bubbling.
04 - In a mixing bowl, whisk together eggs, heavy cream, chopped thyme, minced garlic, and a pinch of salt and pepper until fully combined.
05 - Scatter half of the goat cheese evenly over the pastry base. Arrange the roasted vegetables evenly on top, then pour the egg mixture over the vegetables. Sprinkle with the remaining cheese.
06 - Bake the tart at 375°F for 25 to 30 minutes, or until the filling is set and the pastry edges are golden brown.
07 - Allow the tart to cool slightly, garnish with chopped fresh basil if desired, and serve warm or at room temperature.