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Semanteme (also known to linguists as seme and sememe) is derived from the root of semantics and the suffix –eme. It therefore should mean ‘the smallest significant unit of meaning’ – and it does.

It is like phoneme and lexeme - respectively, the smallest sound (meaningful unit in studying the sounds of speech), and the smallest meaningful unit in studying how words are built up - word formation.
In 1976, Richard Dawkins first applied the word meme in print to "a unit of cultural transmission". This seems a valuable idea, and word.
Whatever you see on the internet, semantime is not an acceptable spelling - OED does not record it.
See also Phoneme, Lexeme, Meme and Morpheme.