The distance between the receiver ring & the bridge is not much more than the brass itself on the .375 Magnum rounds. I know that standard length 98 actions have been opened up to use the magnums, but don't recall off hand what all has to be done. It may be the front top of the bridge is notched out to lengthen the loading opening (No Gate on a Mauser), can't really tell in the picture. I know the magazine box had to be lengthened, both front & rear.
The rifle may not actually be chambered for the .375 H&H, the cartridges could be just a "Prop" for the picture. It almost appears to be a Short action, but a large ring, short actioned 98 is quite scarce.
I have a small ring short action 98 which was made in Mexico. These actions are the same size as the Spanish 93 & 95 actions but are the 98 styles. Mine is still in the original 7x57 chambering. These are really neat little actions & many were re-barreled & sporterized in .257 Roberts caliber. Mine is still in original military condition but does not have all matching numbers as I recall.