The normal, heavy, and super heavy shells in this game are far too heavy for their relative gun calibres, and the shell weights in game at the moment would imply very long shells.
Looking at some examples in the game (Explosives set to "High TNT"):
16 inch in-game: Light = 930 kg Normal = 1,224 kg Heavy = 1,592 kg Super Heavy = 1,775 kg
20 inch in-game: Light = 1,519 kg Normal = 2,170 kg Heavy = 2,822 kg Super Heavy = 3,147 kg
Already the "Normal" 16 inch shell is the same approximate weight as the real life 16 inch Super Heavy shell used by the United States. The Heavy and Super Heavy shells seem impractically heavy for their gun calibres. This seems to be the case with all gun sizes in game.
It's quite straight forward to get an approximate weight of shell for a given gun calibre. For instance I calculated some realistic approximate weights for the two examples given above to illustrate how the in-game weights seem greatly exaggerated:
16 inch realistic: Light = 931 kg Normal = 1,035 kg Heavy = 1,138 kg Super Heavy = 1,241 kg
20 inch realistic: Light = 1,819 kg Normal = 2,021 kg Heavy = 2,223 kg Super Heavy = 2,425 kg