If he just turned two, and he is 14.2, I will say he has at LEAST on more hand to go, maybe more. Hence my guess of 16 hands.
True story. I bought a very nice young saddlebred, age 2.5. He was 14.1 hands, and the breeders promised he would stay short. Dam was 13.3, sire 15.1. I looked at both the dam and sire. They were right there on the property. By the time he was 6, Willie was 16 hands. I am 5’4”. He was way too tall for me.