insight vs sensibility

insight and sensibility both are nouns.

Word	Noun	Adjective	Verb	Adverb
insight	Yes	No	No	No
sensibility	Yes	No	No	No

As nouns, sensibility is a hypernym of insight; that is, sensibility is a word with a broader meaning than insight:

insight (noun)	sensibility (noun)
grasping the inner nature of things intuitively	mental responsiveness and awareness
the clear (and often sudden) understanding of a complex situation	(physiology) responsiveness to external stimuli; the faculty of sensation
clear or deep perception of a situation	refined sensitivity to pleasurable or painful impressions
a feeling of understanding