There is no such beast as a double intentional foul. It's either a double foul, of the personal or technical variety, or an intentional foul. They, double and intentional, are different types of fouls and each carries a different penalty.
The penalty for a double foul is the recording of the fouls, then carry on from POI.
The penalty for an intentional foul is 2 shots and the ball at the nearest spot.
If you truly have two opponents who foul each other intentionally, one of the two fouled first. Call that first intentional foul. Normally you would ignore any subsequent foul, unless it's intentional or flagrant. In this case, then you have a second foul, after the first, making a false double foul. Administer the penalties in the order they occurred, and go from there.
I'm curious, is this an actual occurrance? If so, tell us a story. This I gotta hear!