Preheat the oven to 350 degrees F and arrange two racks evenly spaced in the oven. Line two muffin pans with paper muffin cups.
In a large bowl, whisk together the eggs, oil, and vanilla. Add the carrots, apple, pineapple, pecans, coconut, and raisins and stir together. In a medium bowl, sift together the flour, sugar, cinnamon, baking soda, and salt. Add the dry ingredients to the wet ingredients and stir just until combined. Scoop the batter with a standard (2 1/4-inch) ice cream scoop (I use rounded scoops of batter) into the prepared muffin cups. Bake for 30 to 35 minutes, until a toothpick comes out clean. Place the pans on a baking rack to cool and serve the muffins warm or at room temperature.
Brush the tops of the muffin pans with oil and the muffins will be easier to remove.