I'm not sure what you could do to improve engineering culture beyond making your office a little bit nicer without starting to take away from life outside the office.
You can innovate in many different areas. For example code reviews, CI/CD pipelines, sharing knowledge across the organization. It seems that Google as a pretty solid engineering culture but it doesn't really innovate much like a lot of other large tech companies. Standards are meant to be broken.
I mean, google was the innovator for many of these practices. They originated Gerrit and no code review tool comes close to critique, although GitHub and co are catching up.
A lot of the innovation (kythe, grok) isn't mentioned here, but is necessary.