Many of these flights make little to no sense. But here's one that does:
EZE-IAH-EWR-HKG. It's a long way from Argentina to Hong Kong whatever way you fly, and the 34-hour each way itinerary on CO is not the fastest, but still somewhat reasonable.
You get 13,350 miles each way if you don't break up the EWR-IAH-EZE flights into two connections (51/51 and 52/52); and 14,537 if you break them up.