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Technically, a Large creature occupies 2x2 squares, so you could gain an implicit 5' of range if you are attacking someone that is in the opposite corner of where you would have occupied at medium.
At medium:
X- - - -20' range (4 squares away from your square)
At large:
XX- - - - 20' range (5 squares away from your "medium" size starting square)
XX