Your rule of must be > 25,000 miles is tough given that is greater than the circumference of the earth. But ignoring that it seems like Long Train Runnin has a good route. I found one with similar timing, but only 3 flights.
JFK-DXB-HKG-JFK on Emirates and Cathay
4:30 PM depart, return 1:05 PM +2 - 44 hours 35 minutes
https://www.google.com/flights/#sear...0;s=0,0,0;eo=e