one could also imagine journals recruiting reviewers specifically to evaluate code / reproducibility
rOpenSci actually has a collaboration with Methods in Ecology and Evolution (MEE). Publications destined for MEE that include the development of a scientific R package now have the option of a joint review process whereby the R package is reviewed by rOpenSci, followed by fast-tracked review of the manuscript by MEE. Authors opting for this process will be recognized via a mark on both web and print versions of their paper.
Described here: rOpenSci | Announcing a New rOpenSci Software Review Collaboration
In this case, rOpenSci manages the package review process so it’s not the journals recruiting reviewers, but it’s a good start