Thank you guys.
Indeed, it doesn't dive at all. It just hangs there and it stays there. Doesn't even wanna go horizontal.
The tuners are Hipshot Ultralites. That helps a lot to start with
The location of the lower strapbutton helps too. If it had been at the end of a wing tip it would have wanted to dive. And it would also have forced the entire bass to the left, which would have made the lower positions very far to the left.
I don't have a scale in the house that works at the moment. We had a glass one, and it broke into thousand pieces last week...
But I'm guessing this bass weighs ± 4 kilograms. Very comfortable weight without feeling like a toy.