Based on "real world" limitations (WW I 15" guns could fire beyond the ability of shipboard observers to properly follow fall of shot) around 25,000 yards to be safe. At around 20K it is "look to your life" time, especially since you are crossing the Tee of ships that can tear you to pieces while you can not come close to returning the favor. At 15,000 yards the heavier gunned ship will start to adjust course to bring all for turrets to bear and that will be all she wrote. Only question is mission kill or hard kill.Perhaps
But how far away from the QE class would the German Battle cruiser force have to stay to be out of range? How much extra distance will it have to cover to get in front of them, and how long will it take? And, in the North Sea, what risk of losing contact?
By the time the German BC, even with a four knot speed advantage, manage to overtake and get into a non suicidal position to cross the British Tee, the 5th Battle Squadron, which had a three-five knot advantage over the HSF Battle line, will have completely broken contact with the German heavies and be free to deal solely with the much less well armed/armored battlecruiser force.
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