Are there nuclei of only neutrons?

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My question: do there exist particles similar to atomic nuclei, but made only of neutrons? If not, then why?

I suspect that this would be beta-unstable, but it should live for some time and get observed somehow.
 
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The dineutron is unbound. There was thought that the tetraneutron might be bound but all searches have come up negative.
 
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The closest thing to a stable "nucleus" made up of neutrons is a neutron star.
 
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