Combine diced tomatoes, ham bone, dry great northern beans, and water in a large pot.

Bring to a boil, then reduce heat and simmer until beans are almost tender (about 1 hour).

Add diced onions, sliced carrots, diced cabbage, diced celery, and raw rice to the pot.

Continue to simmer until vegetables are tender and rice is cooked through (about 30 minutes).

Season with salt and pepper to taste.

Serve hot.