The team

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Across
  1. 5. character in the Tempest
  2. 7. the Irish spell this one "Caoimhín" which is just weird
  3. 10. our local physicist
  4. 11. a circular hollow in the side of a hill or mountain
  5. 14. an old German name meaning "bright fame"
  6. 15. sie ist im Ausland
  7. 17. 24th letter of the Greek alphabet
  8. 20. Light of the world
  9. 22. a bad joke
  10. 23. her full name means "snowy"
Down
  1. 1. there is no I in team, nor in this name
  2. 2. a hoe with a perforated blade for mixing mortar or plaster
  3. 3. the Giantess
  4. 4. ditto 15 Across
  5. 6. the male version of this name is the patron saint of voyagers and navigators
  6. 7. is this one a first name or a surname?!
  7. 8. alliteratively named
  8. 9. he likes his snacks
  9. 12. long for Sossen!
  10. 13. hymenopterologist
  11. 16. the female of certain animals
  12. 18. New South Welshman
  13. 19. named after a golfer
  14. 21. Eponymous novel by Jane Austen