Hi Heiko
Did you create a package for enterprise deployment?
Creative Suite Enterprise Deployment | Adobe Developer Connection
The Adobe Enterprise packaging tool varies depending on which version of CS or CC you are packaging.
Also you need to have a license/serial number that supports the use of enterprise deployment tools. These tools allow you to create an install package that is already serialised and doesn't prompt for AdobeID where you license agreement supports such deployments.
Also what image deployment system are you using to which client OS.
The process is pretty simple now with the improved tools from Adobe, still some improvements they can make but it's a lot better than in the past.
Good luck.