I was diagnosed with, Constutional Tall Stature. What exactly does this mean? I'm a 37yr old Caucasian male, weight 210lbs. Thank-you!

It is. the same as familial tall stature. You likely come from a tall family. Not bad. All the best.
Genetic. It generally means your height is as expected by your genes.Males are expected to reach the average height of their parents plus 2.5 inches. The term also suggests you did not have a hormone or other problem that made you grow excessively.