patriarch vs spiritual leader

patriarch and spiritual leader both are nouns.

Word	Noun	Adjective	Verb	Adverb
patriarch	Yes	No	No	No
spiritual leader	Yes	No	No	No

As nouns, spiritual leader is a hypernym of patriarch; that is, spiritual leader is a word with a broader meaning than patriarch:

patriarch: title for the heads of the Eastern Orthodox Churches (in Istanbul and Alexandria and Moscow and Jerusalem)
spiritual leader: a leader in religious or sacred affairs

patriarch (noun)	spiritual leader (noun)
the male head of family or tribe	a leader in religious or sacred affairs
any of the early biblical characters regarded as fathers of the human race
title for the heads of the Eastern Orthodox Churches (in Istanbul and Alexandria and Moscow and Jerusalem)
a man who is older and higher in rank than yourself