Unless the Wiki is out of date, the exact quote is:
It says nothing about what happens when two candidates are tied for most amount votes, although IMO making whoever got the most first preferences Lieutenant Governor would be the most logical way to break the tie.
EDIT: I have introduced an amendment to the Northeast Constitution in order to avoid future situations like this one, although I won't challenge the Governor decision because I don't think I have a case with the way the Constitution is currently written.