Carcass of one turkey (about 1½ pounds) without skin
8 cups low-sodium chicken broth
1 head garlic, halved crosswise
2 bay leaves
2 sprigs fresh thyme
2 cups diced skinless turkey meat (white or dark meat)
½ pound green beans, trimmed and cut into 1-inch pieces
2 cups frozen corn kernels
1 large sweet potato, peeled and cut into ½-inch dice
1 cup small dry pasta shape, such as ditalini
¼ cup loosely packed fresh dill sprigs, chopped
½ teaspoon freshly ground black pepper
Kosher salt
Crusty bread for serving