Preheat oven to 375 degrees.

If your berries are frozen, let them defrost in a colander to drain any excess water or juices. In a large bowl, combine berries, sugar, tapioca and lime juice. Pour mixture into a 9x13 baking dish.

In a separate bowl, combine all crust ingredients except for butter and egg. Mix well. Using your hands, knead the cubed butter into the crust mixture, working it together with your fingers until it the clumps are coarse and pea-sized. Add the beaten egg and mix well.

Drop the crust batter in clumps onto the berries. Don't worry if there are spots that are uncovered, they will blend together during baking. Bake for 45-50 minutes until crust is golden.