We won 9 consecutive games in 71/72. The club record for consecutive victories is 15 which was set in 1905/06. As for being 8 points clear, I have no idea.
Sorry mate - have to correct you there -some archive sites (including the Sons Archive) quote the 2nd December 1905 game against Dykehead as a 3-2 win - whereas it was in fact a 2-3 loss. So only 8 consecutive wins was the best that season.