A320
Flight Crew Air Transport Pilot (ATP)
Fatigue; Distraction; Time Pressure
Conflict Ground Conflict; Critical; Deviation / Discrepancy - Procedural Published Material / Policy
Aircraft Aircraft Damaged; General Maintenance Action
Environment - Non Weather Related; Airport; Human Factors; Procedure
Pushing back; hooked up to tug; off gate; approximately 1/3 of the way through pushback the aircraft made a shudder and came to an unusual stop.  I immediately asked the tug driver if everything was ok.  He replied his wing walker let him hit a B757 tail.  We set the parking brake and secured the aircraft. [This Gate] is extremely tight to operate in.  Extreme caution needs to be used in and out.The flight was an empty ferry flight.  The aircraft had less than normal fuel; no bags or passengers and new Sharklet wings.  This makes for a very high wing tip off the ground.  Also; the Red eye flight landing that morning; departing that same night; only allows for 4-5 hours of circadian sleep.  While able to operate per the 117 rules; lack of sleep does not allow for 110% clear focus. This type of pairing should be reviewed.
An A320 was being pushed at dusk in a confined area when one of its Sharklet wingtips hit a B757 tail because the wing walker did not warn of the collision and also the new wingtips are very high off the ground.