Cryptic crossword clue
Moral principles of the CSI cast 6

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

I've seen this crossword clue in Financial Times
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Buddy explains!

The straight part
We know that "Moral principles" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case moral principles = ethics.
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 ETHICS mean?

ETHICS noun
  1. The study of principles relating to right and wrong conduct.
  2. Morality.
  3. The standards that govern the conduct of a person, especially a member of a profession.

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