Spaghetti Primavera

1 cup sliced zucchini
Salt
2 tomatoes, peeled and chopped
3 tablespoons olive oil, divided
3 cloves garlic, mashed, divided
Salt and pepper to taste
10 fresh mushrooms, sliced
8 tablespoons butter, divided
1 1/2 cups broccoli pieces, blanched
1 1/2 cups snow peas, blanched
6 asparagus stalks, blanched and sliced
1 pound spaghetti, uncooked
1 cup heavy cream, warmed
Chopped fresh basil, to taste
1/2 cup grated Parmesan cheese
Chopped parsley
Saut