Cryptic crossword clue
Heartless humans showing integrity 6

The most common and most likely answer to this crossword clue is the 6 letter word MORALS

I've seen this crossword clue in Financial Times
M
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R
A
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The straight part
We know that "integrity" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case integrity = morals.
The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.
This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.

What does MORALS mean?

MORALS noun
  1. (of a narrative) The ethical significance or practical lesson.
  2. (chiefly in the plural) Moral practices or teachings: modes of conduct.
  3. A morality play.
  4. A moral certainty.
  5. An exact counterpart.

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