Commercial Fixed Wing
Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP)
Situational Awareness; Distraction; Communication Breakdown
Deviation / Discrepancy - Procedural Published Material / Policy; Deviation / Discrepancy - Procedural Weight And Balance
General None Reported / Taken
Environment - Non Weather Related; Procedure; Human Factors
My role for the leg was Relief Pilot. [Runway] XR was assigned during taxi.  The runway was listed on the TPS for TO1 Max and after a short discussion all 4 crew members in the cockpit agreed it was acceptable.  We would be using a departure to the north of ZZZ so this runway would save some time.  The CA requested the FO pull new numbers since our weight came in 4;000 lbs light in the hope of improving our numbers.  After they confirmed that XR was requested on a new TPS through ACARS; the number data downloaded.  After departure; the crew realized  [Runway] YYL numbers had been sent; accepted and downloaded.  The takeoff appeared normal throughout the roll and rotation was also at what appeared to be a 'normal' distance down the runway and from the end.As Relief Pilot; during taxi I'm assigned the Jumpseat behind the FO seat.  The view of all that's going on 'up front' can be difficult at times and requires being very proactive in getting out of the seat for a better view.  Getting up from the seat to verify the takeoff data is necessary and appropriate.
During takeoff roll ECIAS message alerted crew of incorrect runway selection. CA elected to continue takeoff. During taxi out ATC asked if [Runway] XR was possible and crew advised it was due to light weight and TPS data.  After close out CA asked for TO 1 TPS data and FO requested through FMC. FO accepted data but none of crew caught that [Runway] YYL was now the FMC loaded runway.  A delayed close out and number 1 for departure made the confirmation of the data reviewed quick and none of us caught the incorrect runway in the upload.Due to lack of flying and a runway that was the 5th on the TPS made all of the crew slow in our ability to trap complexities of runway and power changes.  Better flow and more currency will prevent this type of event.
Air carrier flight crew reported they inadvertently took off with the wrong data loaded in the FMC.