Hi Michael,
comparing two different quantum chemistry software packages can sometimes be a challenge. In the old days (I am not saying good old days, just old days
) with plain non-relativistic Hartree-Fock without any approximations things were much easier to compare.
What needs to be done is to check what the programs are actually doing, the defaults of ORCA and Turbomole are in many cases not identical. Or even close. DLU-X2C (as yannickf recommended to switch on by adding $rlocal) is the default in ORCA but not in Turbomole, at least not at the moment (versions 7.x). That's what the manuals say and I assume those are correct for both packages.
In addition, the choice of the operator (relativistic vs. non-relativistic) needs to be checked, search for the keyword picture-change in both manuals and make sure to have those set similarly.
As the ORCA manual says that the implementation follows the work that was done for Turbomole by Franzke, Weigend and others, the results should in principle be comparable - if, and only if, the same settings are used. However, the number of keywords at least in Turbomole for X2C is not small - they are given in the documentation, section 'All-electron relativistic approaches (X2C, BSS, DKH)'.
Best Regards