How Tall Are Vegan Gains?

Are there any studies that have shown the amount of height gain that can be expected from a vegan diet? I am not looking for a list of foods that will add inches to your frame, but rather the magnitude of how much. For instance, if one were to eat only a plant based diet for a year, what would be the average increase in height? Would it be possible to get from 5’8″ to 6’4″?