It would have to be from an alternate universe because George Washington is on the quarter in our part of the space-time continuum.
All circulated quarters dated 1965 and later are worth face value only, except for some state quarter error coins that are mostly gone from pocket change at this point.
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There is no such thing as a 1968 Franklin halfdollar. But there is a John F. Kennedy half dollar from 1968.
August 2, 2009 The 1968-S proof quarter has a value from $6 to $40 depending upon the actual condition of the coin.
If you got in change spend it, in 1968 the only mint marks used were D & S a coin without a mint mark was struck in Philadelphia.
Franklin halves were minted from 1948 to 1963. All halves dated 1964 and later carry a portrait of JFK. Please check your coin again and post a new question.
If there is no mintmark under the eagle on a quarter then the coin was minted at the Philadelphia Mint. That's the only mintmark position for Washington quarters dated 1964 and earlier. The mintmark was first put on the front of the coin in 1968.