Archie, I tried today but could not reproduce the exact same error, as AHMI did not fail with different combinations of programs I tried. What I have found is that the developer of our database software that communicates with the PLC has made changes to the confguration of the driver he uses (from Ingear), and he suppodsely can communicate with successfully. But in the RTA I can see "Total Num Out-of-Connection Errors" counter going up while the DB is online, and when so RSLinx (so Logix) and AHMI are not able to start communication with the PLC.
So I think that denitively is not an AHMI driver problem, but Ingear drivers. I will have to think in a workaround as Ingear says is not their fault, and RTA says their device works as expected... leaving me in the middle with some people pointing at me to be the responsible. Anyway, thanks for all the help, hopefully this helped to improve something.
And yes, I tried changing the CIPConnectionSize property to 300, and worked fine.