Mr Rennie said he had absolute confidence in the two teachers leading the tramp and was happy with the decisions they made.
"I had total faith in both staff members and even when the police contacted us we were sure they would work through it pretty quickly."
He praised the SAR volunteers and Middlemarch residents, and said the pupils, aged between 14 and 16 years, were "very good and very supportive of each other".
"The local people were great. They were extremely supportive, very knowledgeable of the country and made it a lot easier from our point of view.
"For the boys themselves, it was a real learning experience but one where they came up trumps."
It was to be a two-day tramp for the Duke of Edinburgh's silver award.
The group left Dunedin on Friday and was to spend Saturday night in a hut on the range before tramping out yesterday.
Good weather on Saturday prompted the group to do a longer tramp, initially planned for Sunday, and stay at the hut before completing the shorter tramp yesterday.
But late Saturday afternoon the weather closed in and the group could not find the hut.
Constable Don Peat of Dunedin police led the SAR team from a base set up at the Middlemarch fire station.
Searchers were deployed about 11pm, the group was located about 12.45am, and all were in Middlemarch about 3am.
Mr Peat said the school group had all the right gear and followed instructions to "hunker down and keep warm".
"Once people start to get cold and wet it's a downward spiral, and we found them at the right time.
"They warmed up with a Milo at the station. We gave them dry clothes and they stayed the night in front of the fire."
He, too, thanked the volunteers involved for "going the extra mile".
"It was pitch black up there and with the fog you couldn't see your hand in front of your face."
Eventually, the teachers saw vehicle headlights "and turned their torches on so we could find them".
It was "fortuitous" enough SAR volunteers were available, as most attended a competition on Stewart Island at the weekend, Mr Peat said.