My 16K Cruiser unit tends to draw about 12 amps in cooling mode at 120 volts. That includes the seawater pump. If voltage drops below 110 volts, which happens occasionally on holiday weekends, it can get to 15 amps.
I don't know about all 16,000 BTU A/C's, but a Honda 2000i will run a Dometic Stowaway Turbo 16k BTU if you don't use it (the Honda) in Eco mode. If you want to use it in Eco mode you should probably use their "Smartstart" system which is a smart capacitor.