That is 14 hours carrying a full load of munitions. Once the munitions have been expended the flight time would increase. Lets say that it takes 3- hours to get over the site. 30 minutes to find targets and fire munitions (These are both high estimates.)This would use approximately 25 % of it's fuel which would still allow approximately 28-30 hours of observation time.
That’s a Reaper, much bigger than a Predator.
Would they even consider flying a Predator over the Med Sea?