In a large pot over medium heat, add olive oil. Once the oil is hot, saute onions, carrots, celery, and garlic until fragrant, about 3 minutes.
2 Tablespoons Olive oil, 1 large Yellow onion, 2 Carrots, 3 stalks Celery, 2 cloves Garlic
Add tomato paste and cook down for a few minutes.
1 Tablespoon Tomato paste
Pour in enough water to cover the shells by 2 inches (I used 8 cups total). Toss in fresh thyme, bay leaf, peppercorns, and your shellfish shells.
4 Shellfish shells, 3 sprigs Thyme, 1 Bay leaf, 10 Black Peppercorns, 2 teaspoons Salt, 8 cups Water
Bring to a boil, then quickly reduce to a simmer for at least 1-2 hours.
Once the stock is flavorful, strain the shells, vegetables, and peppercorns using a fine mesh strainer lined with cheesecloth.
Chill quickly by placing the stock container in an ice bath. Store in the fridge for up to 3 days, or freeze for 2 months.