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All answers having "High point" as clue:

3 Character Answers:

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ALP

TOP



4 Character Answers:

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ACME

APEX

NOON

PEAK



5 Character Answers:

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AERIE

CREST

MAUNA

SPIRE



6 Character Answers:

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APOGEE

CLIMAX

VERTEX

ZENITH



7 Character Answers:

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EVEREST



8 Character Answers:

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PINNACLE