"I've found the following Specs: GE M134 Minigun - Caliber: 7.62mm x 51 Weight:15.9kg Length:80cm Barrel Length:56cm Method of Operation:Electric, External Drive Cartridge Feed:Belt Rate of Fire: up to 6000 rds/min Barrel Configuration- currently 6,rotary"
...Don't forgot... "GE, We Bring Good Things to Life"....
Sorry I'm replying late on this, I just returned and have been reading through and thought I'd chime in on this.
I would first get photos as a ref... Then figure out what size the parts need to be, I use one of the scale calculators you can find on the web. Make notes and sketches of barrel lengths, drive mechanism, what ever you see in the photos and want to create on your version - drawings don't have to be Leonard Davinci quality, just a plan. Start collecting the parts. I find many useful pieces/parts at the Jo-Ann Fabrics, Michaels Crafts and of course your local hobby store. Look in the other sections too, model ships, trains, cars. There are multitudes of piece/parts for other models that may fit your needs.
I scracthbuilt a sci-fi version of a minigun in 1/35 scale. I used Aluminium tube, can't recall the size, sorry, but the ID was less than a mm. I chucked the tube in my mini dremel, on slow speed and tapered the tube with emery cloth - it's minimal but noticable - repeated for each barrel. I was at the fabric store and found metal pop-snaps. They have 4 holes around the outside edge to sew it to the garment. I used two of the male snaps. I used a mini rat tail file to open them up for the barrels. The male pop-snap has a nub or nipple in the middle that pops in to the other half, I cut that off leaving a small hole in the middle which I ran a piece of wire through that down the middle. Repeated that on the second male snap (test fitting along the way) was used as the base. So now I have 4 barrels, a based mounting plate and a few scale inches from the barrel muzzle is a retaining ring/support with central support. In the link you posted, the minigun has the same kind of plates holding the barrels in place. I tried sheet styrene but it looks way to thick.
Mine looks fairly realistic and the main thing is it matches the drawings/ref. pics. for the scratchbuild I am working on. I'll Try to post a photo of it once I figure out how...
The scale you are building in and the calibre will determine the tube size to use. A small calibre may not warrant a tube, say a 7.62 minigun in 1/48, I'd have to scale that down but you would probaly be using a #80 pin-vise bit to make a hole in the end of styrene rod. It's just a guess but at that scale the barrel is very small.
Cheers!