Hi ntranx,
As I understand, I understand that you are compiling an exe using LabVIEW 2016 and trying to run it in your TPC. What Operating System do your TPC has? is it not Windows 7? is it Windows XP?
As you can see, LabVIEW 2016 is only supported by Windows 7 SP1 or later:
LabVIEW 2016 Readme for Windows
http://www.ni.com/pdf/manuals/374715f.html
If it has Windows 7, you will only need to install this in your TPC and it should work:
LabVIEW Run-Time Engine 2016 - (32-bit) - Windows
http://www.ni.com/download/labview-run-time-engine-2016/6066/en/
If your TPC has Windows XP or previous, I recommend you to try to compile the exe in a previous LabVIEW version and make sure you install the appropiate LabVIEW Run-Time Engine version in your TPC to be able to run it.
Hope this helps, regards,
Daniel C.