Grammar

Oh dear willski.

John, where Peter had had "had", had had "had had". "Had had" had had the higher mark awarded, as it was the more correct tense for the situation.

Ding! Ding!

Round One: pajamas.

Took you 2 minutes, and you changed the ending. In addition to this, had had is not more correct. It is correct, there is no relative measure.

All this leads me to conclude that you cheated and looked it up on the internet.

FAIL!