I am having the same issue and we use the latest version. I just checked the code in GitHub and noticed that there is a huge try block that is catched by one Exception:
https://github.com/jenkinsci/hpe-application-automation-tools-plugin/blob/master/HpToolsLauncher/TestRunners/GuiTestRunner.cs
Lines: 106 to 203.
Whatever creates here the issue we have no idea about it as we only get a Qtp Not Launched info.
Can you please reopen it and or add more debugging info, so that we see at least see which part is the problematic one.
For 100 lines of code getting only a Qtp NOt Launched message is not helping.
cannot reproduce on my machine with UFT 14 build 1708 + Jenkins Plugin 5.0.1-beta-snapshot, by looking at the log i guess after the first run UFT is not closed properly for some reason.
QA will test again.