Yes, the LBT could theoretically do 0.006 arcsecond resolution in binocular configuration (22.8 meter aperture), which is about 14 feet at Jupiter distance, or 10 times worse at best. But then it costs 10 times less, and can see the whole universe at that resolution.
Presumably you meant to say 14 miles, not 14 feet. Also, since the adaptive optic system acts on the near-IR light, let's shift the 500nm used to calculate the Rayleigh criterion to at least 1 micron, which doubles the limiting resolution to around 0.011 arcsec.
The Rayleigh criterion gives a limiting resolution assuming monochromatic light. The quoted 16 mas is a demonstrated resolution for a broadband filter. So, I was ballparking things and they have achieved an awesome result for a relatively short wavelength! That resolution is just achieved for the inner 1 arcsec of the image, though.
