Unable to push 7,6 GB Docker container

I am unable to push our private Docker container which is 7,6 GB in size to Docker Hub. The push just try to push the image again afterwards. When reducing the image size to 4,2 GB the push was successful.

Is this related to the 5 GB single PUT operation limit on Amazon S3? Thanks

This may be related to this bug here: https://github.com/docker/distribution/issues/886