Place the lima beans in a large saucepan. Pour enough water to fill to 2 inches above top of the beans. Allow to soak overnight.
Preheat oven to 375degrees F (190 degrees C).
Place the saucepan over medium heat; bring to a boil; reduce heat to medium-low and simmer 20 minutes; drain. Pour the beans into a 9 x 13 baking dish. Add the tomatoes, olive oil, garlic, salt, and dill; stir.
Bake in preheated oven for 1 1/2 to 2 hours, stirring occasionally and adding water if the mixture appears dry.
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