I am trying to install CodeRunner since yesterday I can see only
"Validating qtype_coderunner ... "
And I have no idea how to move further.
I haven't seen that problem before. Since at this stage in the process the code that's running is just standard Moodle, not the code in the plugin, it would seem like an issue with your Moodle install. Have you tried installing any other Moodle question type plugins from zips?