Preheat the oven to 350 degrees Fahrenheit. Using butter, grease a 9x5x3-inch loaf pan.
Mix the flour, wheat bran, baking powder, baking soda, cinnamon, allspice, nutmeg, and cloves together in a mixing dish. Mix thoroughly.
Combine the grated carrots, raisins, honey, and orange juice in a separate bowl. Combine the carrots and flour in a mixing bowl. Do not overmix; simply whisk until the carrots are evenly covered.
Place the cake batter in the loaf pan that has been prepared. Bake for 1 hour and 15 minutes at 350 degrees F, or until a toothpick inserted in the centre of the cake comes out clean.
Remove the baking sheet from the oven. Allow to cool for 10 minutes in the pan before turning out onto a wire rack to cool completely.