By calling out a NACA 0012, you aren't "technically" done specifying the airfoil. The standard assumption is that the maximum thickness will fall at 30% chord. There is a way to modify the thickness function to move the point of maximum thickness forward or back. This may not have much effect on the lift curve, but it will on the drag "buckets", and hence, L/D at high angles of attack. Moving the thickness back makes it start looking like the 6-series airfoils, without the more complex designation format.
Just when you thought it was complicated enough...
You'd better read Abbott & von Doenhoff's Theory of Wing Sections. It's not expensive, and easily obtained because I think it's still in print (Dover Press).
Steven Fahey, CET