What year and model Chrysler is this?

Riddle me this.

Early 1980s a friend's mom went to the local mom & pop dealership to buy a new car to replace a worn out one.
She was a nurse, needed a daily commuter and bought cars off the lot, never ordered one, drove them until worn out.

She came home with an Omni GLH, but it was very odd.

Stock Omni, white, red interior, manual trans, no ground effects, chrome bumpers, stock steel wheels with trim rings and center caps.

It had black decal stripes of different sizes on the sides.
On the C pillar, mounted at the same angle, an orange light bar with chrome ends that came on with the lights.
It had the turbo hood.

It was a turbo and it was ridiculously fast.
My friend's older brother would take us out in it and let us drive it, we were not of age at all.
He subsequently totalled it within a few weeks and we never saw it again.

This was a brand new car, at most a demo.

Unsettled debate, there was a turbo emblem or decal either next to the orange light or on the fender.
The debate is where was the emblem, not if it existed.

Still friends, still have no idea what this car was exactly.