I no longer have a save game with 5 events I think, but I do have one with 4. I do remember getting 5.
In the save game with 4 good events in a month, there were no battles or change of ownership in the provinces receiving events, I owned them at the start of the turn and at the end of the turn. All 4 of the the events were good. Turmoil-3/Luck-3 scales.
Edit: Attached save file with 6 random events in one turn for one nation (Caelum). 4 events per turn were somewhat common, 5 were very rare, and this is the only one with 6. No battles or provinces changing hands at all.
Edit Again: Damned mods starting themselves without my permission again! You need the Kitchen Sink to view the turn, it can be found here:
http://www.shrapnelcommunity.com/thr...ev=#Post582302