Seventy-one minutes on the phone to Qantas with this itinerary:
MPM-xDOH-CMN-DOH-CPH-xDOH-GRU-SCL-BOG-LIM-EZE-JFK-CUN-PHX-DFW-SYD-JNB.
The agent said she can't price it because there are too many flights to and from DOH. She says travel must be in a continuous direction.