Led by Brown, they finished the 30 minutes of running split by just 0.0032 seconds, with veteran Steven Richards third in a Holden sweep of the top seven.
Brown and Paul Dumbrell had brief stints at the top before Warren Luff turned a 1:08.7223s to go fastest nearing the 10-minute mark.
That was the benchmark until Richards slotted into first with a 1:08.6292s, with seven minutes to go.
His time at the top was fleeting, shaded by Triple Eight team-mate Bamber and then Brown.
The latter's final run, though, included running wide at Turn 9 and having to extricate his Erebus Commodore from the gravel.
Teaming up with Anton De Pasquale, Brown's 1:08.6230s was good enough to finish on top.
“I was going for another lap and, down at Dandenong, I went off and thought 'we’re going to get stuck here, cause a red flag and not get [top spot]',” Brown said of his off.
“I was pretty scared, it definitely got the heart-rate going but that’s how it is.
“I just can’t thank everyone at Erebus enough, to give me this opportunity, my first enduro and to end the day like this is pretty cool.
“I’m just pumped to be here and in the enduro campaign.”
Bamber was 14th in Shane van Gisbergen's regular Red Bull Holden Racing Team Commodore on Friday morning, and made more progress in the afternoon.
Richards finished third in Craig Lowndes' Autobarn Commodore, ahead of Jack Perkins, Dumbrell and Ash Walsh.