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It is/was actually there - predates even the 2pdr; it throws a 3x heavier HE shell (very important for a tank gun, and very handy to have on an AT gun), and it will offer better AP performance than the 2pdr, without the need to weight much more, or to be more complex .
These were the advantages required back in 1930s, too bad the opportunity was not acted upon.
(note that the Naval 6 pdr from the 1930s was more powerful that the ww1 6pdrs)
IMO, a mistake was made with going with a 3pdr in the 1st place, and then going further lower with the 2pdr.
I have nothing against a 12 pounder (there was several guns of nominal 12-13 lbs, differing in, lets say, power); British designs were no worse than the French 75 or the Soviet 76mm/02.
The 6 pdr should be lighter, and easier to install on a tank.