Outside of each tire? Or the outside of the tread?
Meaning: if you are looking down on the tread from on top, it chews up both edges of the tread? or just the one edge located towards the outside of the car?
Im sure its not it, but if its wearing the both ouside edges it sound like maybe under inflation of the tires. (i know this isn't it, im sure you're good about checking the tire pressure)
To me it sounds like somethings loose down there in the suspension department, and allowing the tire to tourque or change the toe angle on turns. That can chew up tires quick. doesn't take much.