There is ONE possible date: May 6th. THIS IS THE ONLY DATE WITH EXACTLY 14 HOURS OF DAYLIGHT THE ENTIRE YEAR OF 2010!
May 6 = Sunrise 5:15am; Sunset 7:15pm
May 6 = Sunrise 6:15am; Sunset 8:15pm
W109.5* 33' N38.6* 34' Moab, Grand County, Utah
For those of you that live in Hawaii, Arizona, Eastern Indiana, The Navajo Indian Reservation, Parts of Canada, Central America, South America, Africa, Egypt, India, Asia, Japan and Northern Australia, they started filming at exactly 11pm on May 5 and concluded at 11pm May 6, 2010; or if you believe in DST (Daylight Savings Time) and observe it, they started filming at exactly 12am on May 6 and finished at exactly 12am on May 7, 2010.
The times for sunrise and sunset were taken from the Astronomical Applications Dept. at the U.S. Naval Observatory in Washington, D.C. (which is America's Official Timekeeper.)