Just because you purchased a sch40 steel pipe from a fence company, does not mean it is the same fence post material sold at local mega-hardware stores, as fence post.
It is a sch40 steel pipe, or the good stuff.
It is not possible to get a 16 foot 2" pipe from a satellite dealer or installer. An experienced installer will tell you that you need to use a larger pipe and reduce the pipe size at the top. A good installer knows where to get an adapter to reduce a 2" steel pipe (2-3/8 OD) to 2" OD. Wildblue, a KA-band satellite internet provider, recommends using a 2"steel pipe (2-3/8"OD) and installing these adapters.
If your brace your mast properly, you should have no trouble, but if you can gab the mast with one hand, shake the mast (with the dish on) and move the mast more than 1/8" in any direction, you will most likely experience some signal loss during medium wind storms on any KA transmission. Such signal loss may be tolerable, but it really depends on the wind loading your dish receives.
Remember, the wall/roof mounts for WildBlue, DTV HD Dishes, and Hughesnet use support struts. With these struts installed, those mast do not move. Not even a little. They are rock solid. The only movement you might find is the flex in the wall or roof framing members if you grab on with both hands and put your weight into it.