Catalyzes the acylation of trehalose-2-sulfate by adding the palmitoyl group at the 2'-position to yield the intermediate trehalose-2-sulfate-2'-palmitate (SL659). 2-O-sulfo-alpha,alpha-trehalose + hexadecanoyl-CoA = 2-O-sulfo-2'-O-hexadecanoyl-alpha,alpha-trehalose + CoA In strain BCG, the sulfolipid-1 (SL-1) is not synthesized. Belongs to the PapA acyltransferase family.