The most common and most likely answer to this crossword clue is the 4 plus 10 letter word HARD ASTARBOARD
I've seen this crossword clue in Financial Times
H
A
R
D
A
S
T
A
R
B
O
A
R
D
Buddy explains!
The straight part
We know that "Extreme right turn" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case extreme right turn = hard astarboard.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.