Just out of curiosity, I've got Str to Damage, Dex to damage (Shadow Blade feat), Int to damage (Swashbuckler), Wis to damage (lvl 4 Swordsage ability), and Cha to damage (divine might).
Insightful Strike, a Diamond Mind maneuver, deals damage equal to a Concentration check, which of course involves Con modifier. Greater Insightful Strike does twice this.