Mix cornstarch, millet flour, tapioca flour, rice flour, teff flour, ground flax, psyllium husk, and guar gum in a bowl.
Place eggs, warm water, canola oil, vinegar, sugar, yeast, cornstarch mixture, salt, and milk in a bread machine pan in the order listed, or in the order listed by the manufacturer. Stir gently with a wooden spoon to combine yeast with the rest of the ingredients.
Run "rapid bake" cycle for 2 hours. Select "dark" crust setting; bake for 50 minutes.