That take-off distance is totally wrong. I can't find the spec's for a BBJ but Boeing's technical data says a lightly loaded B747-8i or -8F only needs 6,000-7,000 ft to get off the deck. (approx 1830m to 2130m)
Without hundreds of seats or internal cargo handing equipment, the BBJ would probably have a lower empty weight and would perform better an -8i or 8F.