It would cost you an infinite sum of bitcoins, as the address 1MintCtNesdc8EiJ2D1sKs75EUYPABD3LX has an invalid checksum, meaning it can never be a valid bitcoin address. There is no private key that belongs to that address.

Even if it is an valid address, it's almost impossible to vanitygen an entire address, as the chance is extremely extremely extremely extremely extremely extremely low to find an exact match. Why do you even want to random string of characters (I assume)?

You can get 1Mint for free, if that's all you want. I can do it right now for you or you can wait for Loyce to come online.