Heat 2 tablespoons oil in a large saucepan. Stir in the brown rice, and cook until golden brown. Add the lentils, water, and salt; bring to a boil. Reduce heat to low, cover, and cook until the rice is tender and the water is absorbed, about 40 minutes. Add additional water if needed; mixture should be very thick. Remove from heat and let cool slightly.
Place the cooked rice mixture in a food processor along with the eggs, bread crumbs, Parmesan cheese, basil, and garlic powder. Process until well combined, and the texture of ground meat. Form into 1/4 to 1/2 inch thick patties, using about 3 tablespoons mixture for each.
Heat 3 tablespoons oil in a large skillet. In batches, fry patties until browned, about 2 to 3 minutes per side. Drain on paper towels; cool. Fry remaining patties in the same manner. Store in airtight containers in the refrigerator or freezer.