Preheat the oven to 400 degrees. Line a muffin tin with cupcake liners.
In a large bowl cream together the butter, sugar, and brown sugar. Add the eggs and vanilla and mix well.
In a medium bowl combine the flour, baking powder, baking soda, cinnamon, and salt.
Add the dry ingredients to the bowl with the wet ingredients and mix until a thick batter forms.
Add the zucchini and mix until the batter is well combined.
Gently fold in the blueberries.
Pour into the prepared muffin tin.
Bake for 18-20 minutes or until a toothpick inserted into the center comes out clean.
Remove from oven and cool completely.