The standard Boeing output shows the CLIMB limit weight, this is the limiting weight for the temperature and pressure altitude where the aircraft can meet the certified climb gradients.
The FIELD limit weight is for the individual runway, it accounts for the acceleration/stop/go, obstacles, brake energy, tire speed and approach climb.
These two weights are compared to the certified structural weight, the lower value is the most limiting.
Example for RWY 10 @ 30°
Climb = 475,000 kgs
Field = 375,900 kgs
Struct = 394, 625 kgs
The field limit weight is the most limiting.
Mutt