of great weight

See: important
References in classic literature ?
These were called agents, and were personages of great weight and importance; the other partners took their stations at the interior posts, where they remained throughout the winter, to superintend the intercourse with the various tribes of Indians.
The spokesman added that Kerry had expressed US keenness on full implementation of the roadmap which would guarantee the success of the Egyptian democratic experience, which is of great weight and importance on both regional and international scale.
The Slimming World group that I attend as a member, in Dunston, Gateshead, raised well over a thousand pounds through a sponsored slim last year, for The Childrens Heart Unit at Newcastle's Freeman Hospital; with the added bonus of great weight loss for all our members.