Heroic Qualities: Random?

[K]

So I have a question. Are heroic qualities random?

The funny thing is that they seem to not be. I might be projecting order onto a random process, but I've only seen Heroic Stupidity on a test game where my side had huge losses.

I tend to get only get the qualities for +Attack, +defense, +attack and +defense and ambidextrous penalty removal, +actions(Heroic Quickness), +hit points(Heroic Toughness), enc and +hit points and +Str(Heroic Obesity), +Str(Heroic Strength), +MR, +Precision, and a Standard.

The following seem to be stupidly rare:

Adept Researcher: +research points
The Third Eye: MR and Precision
Legendary Cruelty: Fear and bonus afflictions
Heroic Stupidity: Attack, defense, and MR and less
leadership
Undead Leadership: Exactly what it says.
"Legendary beauty?": Awe, and I think Leadership

Any others I'm missing?