From Longman Dictionary of Contemporary Englishfiner feelingsfiner feelingsGOOD/MORALsomeone’s finer feelings are the moral values they have, such as love, honour, loyalty etc You can hardly expect such finer feelings in a thief. → fine
Examples from the Corpus
finer feelings• Women's bodies bring out all his finer feelings.• Ven Gajdusek had no such finer feelings, of course, either conscious or subconscious.• On the other hand, you might appeal to their finer feelings, their sense of duty and responsibility. 