http://culturewall.herokuapp.com/
Create a Wall and link it to your team. You can add values and vote on them collaboratively.
Voting is deliberately left unrestricted. If you want to vote up a value twenty times because you really like it, that's part of the point.
Culture Wall is a dead-simple Sinatra app, using sqlite in development and postgres in production. The CSS and JS is vanilla. This would work well as a React app but would also work well as a Rails app. Choosing simpler, more do-it-yourself options was deliberate.