16 gauge is really just a light duty cord. I think the lightest cord I would use is a 12 gauge. I use a 10 gauge cord to hook mine up to the house, but I can run the entire camper off of it.
Edit: Found a few links... you'll have to decide for yourself if you want to roll the dice with it.
http://rvandcamper.org/2013/08/04/rv-info-how-much-current-do-your-rv-appliances-draw/Home Depot also has a handy chart that shows what different cords can handle:
http://www.homedepot.com/c/factors_to_consider_when_choosing_extension_cords_HT_BG_ELI would still err on the side of caution and go for a 12 or 14 gauge at least but that's just me. My 10 gauge is handy because I can use it to hook the camper up when I'm just too far away for my normal cord.