The stalemate, coupled with wins for Bury and Aldershot sees Town slip out of the play-off places in League Two with six games remaining in the season.
5,515 were in attendance to see Ian Sampson's side try in vain to break down the struggling Gulls but it was not to be and attention now turns to Saturday's home game against Notts County.
Reaction to follow on Cobblers Mad.