I spent 7 hours testing the network and workstations and trying to resolve the issue.  I called Intuit and spent four hours on the phone.  They could not resolve the issue.  They wanted me to upload the company file for them to investigate.  That was not an option as the entire company would be shut down while waiting.

I resolved it by uninstalling QuickBooks Enterprise 24 on the workstations that had updated to R15_69 and reinstalling it.  I did NOT run the updates after installing and I unchecked all items in the update options so that the software would not go and update automatically.