Catalysis of the reaction: 4 L-glutamine + adenosylcob(III)yrinate a,c-diamide + 4 ATP + 4 H2O = 4 L-glutamate + adenosylcobyrate + 4 ADP + 8 H+ + 4 phosphate.
adenosylcobyric acid synthase (glutamine-hydrolysing) activity