can we say "ones has enriched core/ connotation"?
Do these words mean inner beauty ?

Doesn't sound like any normal English usage to me.

Dear Faldage: Take a double dose of antacid for you GERD.

Connotation = something implied in addition to the obvious meaning.

Core =the central core of someone or something ... in a fruit the part containg the seeds as in an apple or pear.
In mining the name of a shift of men working together at the same time.

Inner beauty = within or inside .... as in "Her mouth was too large, her chin too short, her eyes too wide-set, but she was beautiful because her inner beauty shone through.

"Enriched core" sounds like something translated from English to a foreign language and back again by a computer... either that or something related to a nuclear reactor.