Medium & Heavy Duty Alternators | Delco Remy
http://www.prestolite.com/literature...tor_wiring.pdf
These appear to indicated that the thinner wire is a sense wire, and attaches to the S terminal.
If you attached it the other way, then I suspect the alternator would put out too much current across the sense wire and burn it up. You may have to rewire a new sense wire, or looks like you could even just connect the sense terminal to the positive output. Hope if it burnt, it didn't burn any other wires that are in the same wire wrap. Read the article.
And I assume when you wrote 14 amps, you really meant 14 volts....