Place the grated zucchini on paper towels to soak up extra moisture while preparing other ingredients.
Preheat oven to 325 degrees. Grease a loaf pan and set aside.
In a large bowl, mix together oil, honey, eggs, and vanilla. Add the grated zucchini and mix well.
Add flour, baking soda, salt, cinnamon, and nutmeg. Stir until well combined.
Pour batter into loaf pan and bake for 45-50 minutes or until a toothpick inserted in the center of the loaf comes out clean.
Let cool for 10 minutes, then remove from the pan and brush with the remaining 2 tablespoons honey.