Preheat your oven to 350°F (175°C). Grease a 9x5 inch loaf pan.
In a large bowl, combine flour, sugar, baking powder, baking soda, salt, cinnamon, and nutmeg.
In another bowl, whisk together eggs, oil, and vanilla extract.
Pour the wet ingredients into the dry ingredients and mix until just combined.
Fold in the diced peaches.
Pour the batter into the prepared loaf pan.
Bake for about 1 hour, or until a toothpick inserted into the center comes out clean.
Let the bread cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.