Installing my SPORE game onto new computer

I just recently came across my old SPORE game in a box while I was packing to move. I no longer have the computer that it was originally installed on; i also do not have a disc drive on my current computer to install. I have all the original packaging as well as the product code which is printed on the back of the manual. I have tried redeem this product number multiple times on the Origin customer portal but i keep getting the same message: "this code has already been used." 

Can you please guide me on how to resolve this issue. 

Thanks, 

Cody