After troubleshooting for quite some time, I discovered the error would appear only if the Kyocera was not the default printer when Acrobat was opened. The trouble appeared when either another networked Kyocera (3035) or a locally attached HP LaserJet 6 was set as default when Acrobat was opened. Specifically when selecting File .. Print and then selecting the 5056 followed by the Properties button. Whether making changes or not, when selecting OK, the first error appears. The same error appears a few times before Acrobat can be closed.

Just after Acrobat closes, the second error appears.

I had reinstalled the printers recently because of a different issue, so I assumed the drivers were not the problem. While trying to focus on Acrobat, I found many issues related to version 7.0.8, but after locating a troubleshooting document on Adobe's website, I decided to take another look at the printer drivers. The printing is routed through a Windows server which means the workstations use the same driver that is installed on the server, so I updated the printer drivers on the server and everything is working perfectly!
(Some workstations had to be rebooted before the updates trickled down from the server)

The instruction at 0x11c3d459 referenced memory at 0x00000004 The memory could not be written. Click on OK to terminate the program

( AcroRD32.exe Application Error )