I have a Dr. Pepper SPORE Mech Parts Pack code. How do I redeem it?

I have a cap from a 20 oz. Dr Pepper, never used, redeemable for a Mech Parts Pack.

I am aware the download/installation is not a supported procedure, however I would like to activate the product on my SPORE account.

How can I go about redeeming this code so that my account reflects it appropriately?