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His distant descendants are seeking an appeal with discovered paperwork. (search BBC Byng)
Gibraltar to Mahon is about 581miles as the aeroplane flies.
Mahon to Malta is about 625 miles and the direct Gib to Malta is 1109 miles.
It probably made things a lot harder in WW2, but would Minorca be a peace condition and would it be retained that long? What other impacts would this naval base have on the intervening years?