Take the easy option. Give your station MT a quick call (try and get the MT Control SNCO) and check they have received a movements request to collect you and your weapon from Brize and that they have your flight number. At the same time ask him if he would very kindly allow the MT vehicle to drop you at home after they have dropped off your machine gun at camp. I do this every time I go away and to date every time I have asked they have said it isn't a problem. You'll find most of the time that is the MT drivers job for the day and they are only too happy to take you home to your family after a crappy 4 months in theater. I'll always big up MT for this... they go OOA themselves a lot so they understand the want to get home smoothly to your family without any drama.