The Norma is a shortened and somewhat improved Lapua case. I think this would be a good option if building on a Rem 700 action, but it won't be worth it if you have a longer action. Even with the reduced body taper the Norma still has less capacity than a standard Lapua. I have to assume the OP is shooting a Weatherby Mark V or Stiller action if he has a 338-378, because a SAAMI spec cartridge in 338-378 would be too long to fit into a standard long action.Norma improved gets my vote, unless its a single shot.
The Norma is a shortened and somewhat improved Lapua case. I think this would be a good option if building on a Rem 700 action, but it won't be worth it if you have a longer action. Even with the reduced body taper the Norma still has less capacity than a standard Lapua. I have to assume the OP is shooting a Weatherby Mark V or Stiller action if he has a 338-378, because a SAAMI spec cartridge in 338-378 would be too long to fit into a standard long action.
I've thought about this topic quite a bit since I have a 338-378 and really like shooting it. The gun shoots great for a factory rifle and still has a good bit of barrel life left, but the day will come when I rebarrel it. I'll probably stay with the 338-378 and use a 28" barrel. There's just something about that big Weatherby case that I like. The Lapua Improved is still a good option though and something that I can't find much reason to dismiss.
The Norma is a shortened and somewhat improved Lapua case. I think this would be a good option if building on a Rem 700 action, but it won't be worth it if you have a longer action. Even with the reduced body taper the Norma still has less capacity than a standard Lapua. I have to assume the OP is shooting a Weatherby Mark V or Stiller action if he has a 338-378, because a SAAMI spec cartridge in 338-378 would be too long to fit into a standard long action.
The Norma does have less body taper, however, according to Quikloads it has 111.0 grains of capacity and the Lapua only has 108.0 Just to throw it out there. Also, because of the design of the cases, the Norma has more "Useable" capacity when loading the 300 grain bullets to the same length.
I personally shoot a Norma (built on a 700 action) and I have to say the brass is soft, at best. I will be looking to Bertram or another brand for my next lot.
With that said, on an action that long I would go with a Lapua Improved, (whichever you can get the dies you want for). Price of brass is the same I would say that Lapua is easier to find and apparently holds up tremendously better.
Put however long of a barrel you want on it and make sure it's the right twist and you'll be fine.
Makes no sense...
Get a new project !