The log indicates that the problem occurs when Orthanc opens a DICOM SCU connection to the GE DICOM SCP server. You should now carry on more low-level tests, directly using DCMTK's storescu tool.
First, download the problematic DICOM files from Orthanc. According to the log, this is the study whose StudyInstanceUID is 1.2.276.0.26.1.1.1.2.2016.149.31782.7560039. Choose one DICOM file from this study. I'll refer to this DICOM instance as "test.dcm".
Secondly, log on the computer where Orthanc is running, copy there the "test.dcm" file, and issue the following line after installing the DCMTK command-line tools [1]:
# storescu -aet JOYSTICK_SCP -aec AW01 -d 10.0.5.67 4006 test.dcm
This will emulate the connection Orthanc is using. The "-d" flag will provide debug log from DCMTK. Please post the log here.