Elamite language vs Elamitic language

Elamite language and Elamitic language both are nouns.

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

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

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

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

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