Because tocotrienols have up to fifty times the antioxidant potential that tocopherols have, do I still need to eat antioxidant foods?

Tocotrienols are not meant to replace antioxidant foods. Tocotrienols enhance your diet for better health. Supplements are called “supplements” for a reason, they are not called “substitutions.” You should always try to eat a variety of healthy, whole foods.