I found the one I'm talking about on Apple Music, John Williams playing them on guitar. It's BWV 995 for lute, and it is in a minor.
fwiw on cello it's BWV 1011.
fwiw on cello it's BWV 1011.
Wikipedia seems to agree with you on the key: https://en.wikipedia.org/wiki/Suite_in_G_minor,_BWV_995