I like to think that in life the code is also the runtime, unlike in computer technology where the hardware is the runtime.
Biology's difference from computers is in scope (organisms are whole factories who just happen to have computational abilities by necessity) and origin (organisms aren't designed, and this profoundly and significantly affects everything about them).
This distinction isn't as clear as you think. The active parts of ribosomes (the machines that translate mRNA into proteins) are catalytic RNA. There are organisms that use RNA to store templates (RNA viruses).