Just for the record, 2.38 miles non stop is good! How many people do you know could do even half of that? Not many!
If you want to increase distance, lower your speed and jog for longer. Invrease distance by about 10% each week. In an ideal world, if you run 4 times a week, two of those runs would be at your quicker pace for those 2.38 miles, and two longer slower jogs