Sorry to be the bearer of bad news, but it sounds like what you may have is a 'magician's' coin. All coin types have been modified for this purpose. If you read the Coin Roll Hunting section, you'll see people finding double headed halves all the time.
Normally, coins like your sell for $8 or so at a novelty store. On e-bay, you could fetch $2-$3.
Where yours is made of Wheat cents, however, it MAY indicate that it's an older magicians coin, possibly fetching a slight bit more.