Here is the actual NACA document with the points they specify. They have 0, 0 in there as well. But this isn't a point you would use for the spline. It is a point you would use for the leading edge arc/circle. If you compare the table of points in the Fortran code versus the NACA document, any differences are for the circles/arcs.

Edit; this document is now included airfoil_model.zip file in a later post or on my website.