Elamite language vs Elamitic

Elamite language and Elamitic both are nouns.

Word	Noun	Adjective	Verb	Adverb
Elamite language	Yes	No	No	No
Elamitic	Yes	No	No	No

As nouns, Elamite language and Elamitic are synonyms defined as:

Elamite language and Elamitic: an extinct ancient language of unknown affinities; spoken by the Elamites

Other synonyms of Elamite language include Elamite, Elamitic language, Susian, Susian language.

Elamite language (noun)	Elamitic (noun)
an extinct ancient language of unknown affinities; spoken by the Elamites	an extinct ancient language of unknown affinities; spoken by the Elamites