On 26 minutes, a foul somewhere near the edge of the 18 yard box was judge by the linesman on the stand side to have been inside the area and Gwyther stepped up to send Pamment the wrong way to make it 1-1.
For the final 20 minutes, neither side seemed prepared to settle for a draw and pressed to find a winner, Pamment keeping AJ O'Toole and Gwyther out and Darren White shooting wide.
For Tauranga, Kenny and substitute Logan Crawford both had shots blocked. Crawford also fired over and Kenny's spectacular overhead kick was saved by Inia.
With 12 games of the season gone, Tauranga City coach Duncan Lowry has seen enough this season to predict his side will stay in the Northern Premier League.
"We are playing against teams that want to win it but all we want to do is survive, which makes it tough, but if we pinch a point off top teams like this at home we will survive.
"It would have been nice to come away with three points, but if you'd said this morning we'd take a point from Glenfield Rovers, I'd have said 'yep, I'll take it'. Defensively the side looked solid, a feature of a settled back four.
"It's up the front we're not creating chances - and we just don't hold on to the ball long enough and calm things down."
Today at 2pm, Tauranga City United are in Chatham Cup action, taking on fellow NPL side Bay Olympic.