Trouble with z-offset

Recently when I do the z-offset it does not represent the correct distance between the hot end and the print bed. To get a appropriate z distance (for good adhesion to the bed) I need to adjust the z-offset so close to the bed that I no longer can fit the z-offset tool inbetween the hot end and the print bed. If I just follow the instructions and leave the z-offset as it is when I feel slight resistance in the paper tool, the PLA just dont adhere to the bed at all and seems to be ”hanging” from the hot end before it hits the print bed.
Any suggestions on how to fix this?
It seems that when the machine actually is printing the z-offset is higher than when I do the calibration.

 

Yes, I know. Even thoug I also do the fine tuning, the z-offset, during actual printing, becomes much higher than when finished with the fine tuning and z-offset wizards.