Yes, the Run icon is the most hard to do (in concept).
'Run' can be the same as 'execute' or 'more functionality to the system'.
When i begin to make the 'Run' icon, it comes to me always the same idea: a toothed weel (that means a machine making their own work), but this is a usual design used for Control Panel
There's also other option: abstract the 'Run' Concept and using the other 'run' purport, as a Car running or some thing/person can run.
IMHO, the Run icon must be in concordance with the rest of icons of the same set.
You are always professional in your work, Mormegil, and allways are searching for best results on your works. Put a screenshot (or a related link) of your progress, if you wish, and we can put the comments. Maybe you think that isn't good, but can be a excellent (as usual) concept and 'execution'