I have the same issue with my 7stw. It's nothing special, it's a 700 action trued up and an international 28" heavy barrel on a mdt ess chassis with a trigger tech diamond trigger.
I built it over the winter and the chamber was specifically made for the long Berger 195 eol bullet. I received my load data direct from Berger. I have 2 unusual findings with this gun.
1) like you my loads are running at the very low end of the recommended range and with 7828 it is actually below the lowest recommended load. A half grain more blows cases, leaves ejector marks, and makes the bolt nearly impossible to open. Further, at a half grain more it smashed the injector pin so hard that the spring was done and the pin was actually bent. However, with this light load my velocity is about 60 m/sec faster than top speeds expected by the hottest loads recorded in the available data.
2) As for the temperature insensitivity boasted by powder manufactures....BS!!!!
In this rifle regardless of powder tried (7977, 7828, H1000, and Retumbo) all of them require seriously reduced summer loads to avoid blowing cases. For example, with 7977 my winter load (still not max by the books, but max for my rifle) is 76g. This is anywhere from -30 to -50 celcius where I live in northern saskatchewan. My summer load with this powder is 71.5g but I have light pressure signs (slightly heavier bolt lift, ejector marks, and brass fails faster). This is in our current +20 celcius weather.
However, it's accurate so I shoot it that way.
I have sent the rifle out to 3 highly recommended smiths who have all returned the rifle saying that there is nothing unusual/wrong with it.
So, I have come to the conclusion that in the same same vein that we know know 2 rifles will not like the same bullet, some rifles may just be wildly atypical. Further, I've learned my lesson in terms of advertising as those temperature insensitive powders are anything but insensitive.
It is interesting to see the possible issues/causes posted in response to your post. Most seem very reasonable and logical. I tried it all to no avail.