Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP)
Flight Crew Last 90 Days 160; Flight Crew Total 11879; Flight Crew Type 9473
Distraction
Aircraft Equipment Problem Less Severe; Deviation / Discrepancy - Procedural Published Material / Policy; Ground Event / Encounter Loss Of Aircraft Control
Flight Crew Regained Aircraft Control
Human Factors; Weather
Heavy rain on arrival at ZZZZ. Taxi lines difficult to see. Limited peripheral vision to notice movement after parking. Captain's first leg on a 767-300 after OE. Clearing runway the Captain's windshield wiper would not turn off and stow. We tried to park it several times with no success. This created a major distraction on taxi in at a destination new to the Captain. As we approached the hard stand I tried to park the wiper one last time. In my haste I accidentally turned the APU switch off. This created a further distraction. Captain set the brakes and announced brakes set. Engines remained on while we waited for the APU to restart. Turns out the parking brake did not set completely. The IRO (Relief Officer) announced that we were moving. I immediately applied brakes and stopped the aircraft. The aircraft moved about 5 feet past the stop mark and lurched when I aggressively stopped. Everyone was seated and the seatbelt sign still on; so no one was injured. The wiper finally did stow. We debriefed the threats of the wiper; unfamiliarity of the Captain with ZZZZ; heavy rain; the APU shutdown and restart; and our [fatigue]. Vigilance of the IRO during the entire taxi in was key to the successful outcome of this event.
While parking on ramp [we] were distracted from normal parking duties by extraneous malfunctions in cockpit. We had a noisy malfunctioning windshield wiper and a delay in starting APU. These distractions along with long night flying lead us to not properly setting the brake. This resulted in aircraft moving forward after thinking brake was set. Vigilant IRO (Relief Officer) called out aircraft movement and brakes were applied and aircraft stopped without event.
B767 flight crew reported the parking brake was incorrectly applied which resulted in aircraft movement at gate.