Eucalyptus sideroxylon:
The bark is persistent on the trunk and large branches, hard and deeply furrowed, dark grey to black, with upper limbs smooth and whitish.
https://en.wikipedia.org/wiki/...
Seed pods don't match.
https://www.florabank.org.au/l...
Eucalyptus tricarpa:
https://en.wikipedia.org/wiki/...
https://www.florabank.org.au/l...
Seed pods (gum nuts) don't match.
http://www.nationalarboretum.a...
The nuts on your tree may not have matured, but they look woody. The 'cap' would drop off eventually.
Eucalyptus microcorys description bears some resemblance, note the stems attaching the nusts (peduncles) but leaves are quite green although those on your tree could be dried out:
peduncle narrowly flattened or angular
http://plantnet.rbgsyd.nsw.gov...
Description 8a page 28:
https://www.moretonbay.qld.gov...
The bark looks more stringy:
https://www.google.co.uk/searc...
http://www.noosariver.com.au/w...
I imagine the tree has been growing in Florida?
Eucalyptus robusta doesn't appear to match.
http://www.noosanativeplants.c...
http://database.prota.org/PROT...
