In a large pot, combine the ham bone and water (or broth). Bring to a boil over medium-high heat.

Reduce heat to low and simmer for about 1 hour to extract the flavors from the bone.

Add the diced carrots, celery, onion, garlic, potatoes, canned tomatoes, green beans, thyme, salt, and pepper.

Continue to simmer for another 30-60 minutes, until the vegetables are tender.

Remove the ham bone, shred any remaining meat, and return the meat to the pot.

Stir in the cooked beans and heat through for an additional 5-10 minutes.

Taste and adjust seasoning if necessary before serving.