Joden
Forget the Hart tool they do not have a good reputation, if your not loading too hot then you have soft brass or cases not formed correctly in the web area. The thickness of the web area at the flash hole adds strength to the base of the case, if the area is too thin the cases will stretch after a few reloads.
Below is a simple Lee depriming tool I use to test a freshly primed .223/5.56 cases, if the primer moves with just finger pressure the case goes into the scrap brass bucket.
I also use pin gauges to precheck the primer pockets before seating new primers.
Federal brass was noted for soft brass for a few years and some cases have thin web areas, a 5.56 AR15 chamber is .002 larger in diameter and some Federal cases would have oversized primer pockets after the first firing. I used a two inch rod and a vernier caliper to measure web thickness to compare cases.
Below Lake City cases on the far right and left and a Federal case in the center with a much thinner web and problematic primer pockets.
Lake City and commercial contract 5.56 ammunition must be harder in the base and has a thicker web area than some .223 cases and hold up to more reloads because of their milspec manufacturing requirements.
Both of the ideas above came from the moderator and very experienced reloader at a AR15 reloading forum and work very well.
You can also measure the diameter of the primers you are using and see if you can find a brand with a larger diameter.
Not all brass is created equal and much depends on the vendor selling the brass and the manufacturing process of the cases,
the primer and quality control. I know .223/5.56 cases are not 30-378 cases but I had to throw out over 30 cases due to over sized primer pockets on once fired .223/5.56 cases the last time I reloaded for my AR15 rifles.
Below is my scrap brass bucket with cases with over sized primer pockets and its a shame but far too much of the quality control is governed by the stock holders and their dividends.
The majority of the cases below are "ONCE" fired .223/5.56 cases made by Federal, but the bucket also contains every brand of case you can think of.
The person who posted the photo below told the forum it was cheaper to replace the bolt than worry about loose primer pockets. I just shook my head at the stupidity of this statement and started inspecting my primer pockets closely and setting a simple pass-fail test system.