Technically, the 14 gauge will carry the amperage, if, it doesn't have to go too far and is rated (by cover) for the service. Translated to plain english: You using this cord outside? Is the cord rated for outside use? Take a good look at the rubber coating on it, is it nice and thick? Does that little tag on it that tells you its rated UL also say for indoor use only or does it say indoor/outdoor use. How far is the receptacle from where you plan to use it? 50 to 100 feet? You'll need a minimum of 12 gauge rated for outdoor use. Closer than 50 feet, use 12 gauge anyway. If you're using it outside, you are plugging it into a GFI protected receptacle, right? Do it right the first time, then enjoy the smoking process with no concern for cheaping out on the cord. If you have a cord you've been using for awhile, give it the heat test: Let it be in use for awhile, then touch the cord gently, then lay it in your palm. Is it hot, or even warm? Hot? Get a bigger wire size, the cord you're holding is not long for use. Warm? I'd be suspicious, but then I've been known to be darn careful around electricity. Now, I'm retired from that trade so I can enjoy the benefits of that carefulness.
Electricians love it when people skimp of safety features, we call it job security.