On D, the closest the Germans came was Operation Berlin with Scharnhorst and Gnesienau along with three support ships operating against convoys. Most of their success came against a single convoy they forced to break up and scatter.
But, had the Germans tried a larger group the likelyhood is that the British and or US would have put battleship(s) escorts on convoys much as they did for Murmansk runs like the one that Scharnhorst met her demise against.