The OP indicated that his 2014 SRT had logged 15k kilometers--approximately 9,321 miles--when one of its tires was punctured. He stated that the other three tires were in "very good condition."
From the 2015 Jeep SRT Owner's Manual:
"The tires on your new vehicle provide a balance of many characteristics. They should be inspected regularly for wear and correct cold tire inflation pressures. The manufacturer strongly recommends that you use tires equivalent to the originals in size, quality and performance when replacement is needed....
It is recommended to replace the two front tires or two rear tires as a pair. Replacing just one tire can seriously affect your vehicle’s handling. If you ever replace a wheel, make sure that the wheel’s specifications match those of the original wheels.
It is recommended you contact your authorized tire dealer or original equipment dealer with any questions you may have on tire specifications or capability. Failure to use equivalent replacement tires may adversely affect the safety, handling, and ride of your vehicle."
For a supplemental view--one which does not cite vehicle dynamics
as the primary
concern during tire replacement, see http://www.tirerack.com/tires/tirete....jsp?techid=18