"However, a primary goal of our solution was to automate the process of going from code in a repository to a deployed application in our cluster — much like Heroku. Kubernetes did not appear have any mechanism to support this type of workflow, nor a handful of other features we had hoped to find."
Just in case someone is feeling the same, deis[1] is providing exactly this. I did not try their software but I've read a lot of positive about them in the last time.