reverse runs while pegging

While pegging during a game last night, it came 6, 7, 8 for a run. My opponent laid down another 6 and claimed it kept continuing the run. I argued that it did not, that you cannot 'reverse' the run and keep counting points. It actually got pretty heated and I was told the leave the house...was my getting kicked out justified or I am right for standing my ground?

It would be a new run for 3

It would be a new run for 3 your friend would score 3 points