So many things to say here...
First of all, height plays a bare minimum role in board sizing. The two most important factors are your weight and boot size. Height only comes into the picture if someone is either really tall or short for their weight. Also, there is no end-all be-all size. One board's size 156 could support a different weight range than another even within the same brand.
There is a general range that can be given to you to help you start your search, but I can't do that without the above information.