In a large pot, heat the olive oil and brown the whole garlic clove. Add carrots, potatoes, courgettes, celery, onion and tomatoes; let everything brown for a few minutes. Then add the pancetta and let it cook while the vegetables soften. Add the peas and beans.
When the pancetta is browned and the vegetables are tender, remove the garlic clove. Add a ladleful of cold vegetable stock and the Parmesan rind. Let everything simmer, adding more stock if the minestrone starts to seem dry.
After an hour, when the vegetables are cooked, add the chopped basil and parsley and drizzle with olive oil. Remove the rind and reduce the sauce to your liking. Season with pepper and salt.
Serve the minestrone in terracotta bowls adding some buttered croutons on top. Sprinkle with Parmesan cheese to taste.
You can freeze Parmesan rinds to save them for when you want to make this tasty minestrone!