Preheat oven to 400°F. Line a 12-cup muffin pan with paper liner or grease well with cooking spray. Set aside.
In a large mixing bowl, whisk flour, baking powder, and baking soda. Stir in brown sugar and salt.
Make a well in the center of flour mixture and add melted butter, eggs, vanilla, and buttermilk.
Stir until just combined. Gently fold in raspberries and white chocolate chips.
Spoon batter into prepared muffin pan, filling the muffin cups about ¾ full. Sprinkle tops with turbinado sugar, if desired.