Anything noted as "double thin" would indicate you're talking about the Sports Stripe (V6_). The sports stripe was/is two stripes that run parallel under the fender/door/quarter the length of the car.

The Accent Stripe (V7_) is a painted, singular stripe that runs near the same location the length of the car as well.

Thes stripes were both much higher than the door handle from the factory. Take a photo and show us what you have.