I have just emptied my desk, made a sweet little place and smacked my head into it repeatedly.
After that I have send an e-mail to the store I bought these transistors from.
The dumb <insert bad word for behind here> have placed the wrong datasheet on their website.
Same transistor but a different supplier and a different pin-out.
I corrected the pin-out and now I have 64 nice and bright LED's.
At the moment it is flashing it's layers one by one, up and down and the world is again smiling at me.
Mike, thanks for the great support!
You didn't even get grumpy, at least not in your words
I might get back to this topic if I can't get multiplexing going, but not until I have tried to figure it out myself.