As stated above...Gemini does fly one MD-11 in on Sundays (arrives around 2000Z). The plane is under contract with BAX Global which has an agreement with Qantas to help fill the plane up. The flights started in 1998 when BAX was expanding fairly rapidly. Use to be flown was an Evergreen 742. Either way...Gemini Flight 7552 originates in JFK and flies into the BAX sorting hub at TOL (Toledo OH) to load up. It then makes a stop in LAX, HNL, and Pago Pago (I can't remember the identifier...PGO?) before terminating in SYD.
The flight usually is suspended during the month of January for the slow season - but I'll check into it to see if they will continue to fly it this month or not.