Clam and Corn Chowder

Name: Clam and Corn Chowder
Ingredients: 3 bacon slices, cut crosswise into thin strips; 1 bunch scallions (5 or 6); 2 tablespoons unsalted butter, divided; 2 cups corn (from about 4 ears); 1 pound boiling potatoes, peeled and cut into 1/2-inch cubes; 2 (8-ounce) bottles clam juice; 1/2 cup water; 2 pounds small hard-shelled clams, well scrubbed; 1 cup whole milk; 1/2 cup heavy cream