In a saucepan, combine water, oil, ketchup, soy sauce, salt, garlic powder, onion powder, paprika, and fresh basil.
Heat until boiling, then remove from heat and let it cool for 15 minutes.
Press a 14 oz. block of tofu, crumble it into a food processor and remove the basil from the broth.
Pour the cooled broth over the tofu, blending until smooth and creamy.
Transfer to a glass bowl and mix in 1 cup of vital wheat gluten until a thick dough forms.
Gradually knead in another 1/2 cup of vital wheat gluten until the dough is firm and holds its shape, adding more if needed.
Shape the dough into hot dog forms and wrap tightly in foil, allowing some room for expansion.
Steam in a pot with a steamer basket for 45 minutes, or use a pressure cooker/Instant Pot for 35 minutes with natural release.
Remove with tongs and let cool for 10 minutes before unwrapping.
The hot dogs are ready to eat or can be grilled, boiled, or fried.
Serve with your favorite toppings like mustard, ketchup, or vegan sauces.