For a pole barn lean to you really shouldn’t exceed 8’ in span between post.
The minor issue pop is needing larger holes for bigger pads/cookie to spread out the almost doubling weight placed on the soil if you go 14’, especially with snow loads
The major issue that would need some engineering to solve is uplift. By reducing the post count your reducing the number of up lift anchors at the bottom of the post. Lean to’s already have uplift issues due to being open sided allowing wind to get under them, one shouldn’t exacerbate the issue
The increased point loading at the top of the post due to uplift would need some kind of strapping as well.
Uplift forces will be so concentrated that significant strapping will be needed from the beam to the post. In 8’ spacing the header beam is attached to the side of the post with large pole barn spikes. By making a larger beam to handle the loads it’s to thick to nail or bolt and would need to be set on top of the post.
The size of strapping is not your standard stocked Simpson strong tie hardware, stress will be too concentrated for that.