The longest range 747 doesn't even make the top 5.
"The Boeing 777-200LR is the world's longest range airliner with a range of 17,395km (9,395nmi). The aircraft was rolled out by Boeing in February 2005 and can carry 301 passengers in a typical three-class configuration."
"The A340-500 is the world's second longest range airliner, allowing for a maximum distance of 16,670km (9,000nmi) with flight durations of up to 19 hours."
"The Boeing 787-9 Dreamliner, with a range of 14,800km to 15,750km (8,000nmi to 8,500nmi), stands third "
The 380 is in fourth place, followed by the 787-8. The 747-8 is in 6th place, followed by the 350-1000, the 340-600, 777-300ER, and the 350-900.
http://www.aerospace-technology.com/features/feature-the-longest-range-airliners-in-the-world/
There is some variant of the 777, probably the -200LR you mentioned, that did a demonstration flight more than half-way around the world.