or have 100,000 some odd 14Tb HDD's that contain all possible passwords.
Little wrong.
You need not only free space for such rainbow table, but you need at first to create it. And yeah, because of that you need strong computing powers. So it's unlikely to create rainbow table for 13 digit password of 77 chars aplhabet, because you not only need 100 000 HDD, but to crack all possible combinations to create such table