Ingredients

3/4 cup (1 1/2 sticks) unsalted butter, room temperature, plus more for baking dish

1 3/4 cups plus 1 tablespoon all-purpose flour (spooned and leveled), plus more for baking dish

2 teaspoons baking powder

1/2 teaspoon coarse salt

1 cup packed sweetened shredded coconut

1 cup plus 1 tablespoon sugar

3 large eggs

3/4 cup buttermilk

2 teaspoons finely grated lime zest, plus 2 tablespoons lime juice

3 cups mixed berries, such as raspberries, blackberries, and blueberries (about 1 pound)

3 tablespoons amber rum or orange juice

Preparation

Preheat oven to 350 degrees. Butter and flour a 9-by-13-inch baking dish. In a large bowl, whisk together 1 3/4 cups flour, baking powder, salt, and coconut. In another large bowl, using an electric mixer, beat butter and 1 cup sugar on high, scraping down bowl as needed, until light and fluffy, 4 minutes. Add eggs, one at a time, and beat until combined. With mixer on low, add flour mixture in 3 additions, alternating with 2 additions buttermilk, and beat until combined. Stir in lime zest and juice. Pour batter into dish. Smooth top with a small offset or rubber spatula.

In a medium bowl, toss together 1 tablespoon flour, 1 tablespoon sugar, berries, and rum. Scatter berry mixture over batter. Bake until cake is golden at edges and a toothpick inserted in center comes out clean, about 35 minutes. Let cake cool in pan on a wire rack 20 minutes before slicing. Serve warm or at room temperature.