@D**
as Robert pointed out, depending on your nationality AND the way you entered thailand you MIGHT be able to get a 30 day extension.
If you got stamped in for 15 days on a "visa on arrival" you CANNOT get a 30 day extension. <- A visa on arrival is something that people from 21 countries buy (although right now they're free) when they enter thailand. It's good for 15 days.
The countries that get 15 day visas on arrival are:
Andorra, Bhutan, Bulgaria, China, Cyprus, Ethiopia, Fiji, India, Kazakhstan, Latvia, Lithuania, Maldives, Malta, Mauritius, Paupa New Guinea, Romania, San Marino, Saudi Arabia, Taiwan, Ukraine & Uzbekistan
So if you're not from one of those countries you didn't get a visa on arrival when you entered the country.
How about stating the country your passport is from so people can actually give you accurate information?