Christian,
First, are the action/barrel screws locked down tight and fingernail polish "dots" on them so you can see if they rotate/move?
Second, are the scope mount(s) locked down tight to the rails, with that same fingernail polish mark to ensure the screws aren't rotating/backing out? Ditto, do you have pencil marks on the receiver where the mount edges are to see if the mount(s) are moving backward on the rails as you shoot?
Third, do you have pencil marks on the scope before & after the rings to ensure the scope is not moving back in the rings themselves?
Fourth, do you have/keep an absolutely consistent hold on the rifle? (Springers are terribly dependent on consistent hold.) Some swear by balancing just forward of the trigger guard and almost no hold on the stock. Others (like me) grip the forearm firmly just under the break hinge and at the same time firmly anchor the stock w/ my cheek just back of the scope.
Fifth, consider starting at 20 yards and tell/show us what the groups look/act like.
Sixth, ... yes Springers (and their owners) take a while to settle down. But neither should be wild… even at the start.