You can just as easily discuss a time you were honorable for one of these essays. For mine, I wrote about a time I misjudged a turn and scraped the side of another car in the parking lot. It was late, I was alone. I could've walked away and never gotten caught, which another person may have done in my situation.
Instead, I went down to campus police with the plate number, tracked down the owner of the car, and met the student in the parking lot to exchange insurance information. On a whim, that student's parents ended up sitting next to mine at graduation as they got to talking about their kids realized that we had had that interaction. He waxed eloquent about how amazed he was that I went and tracked them down. It was a good life example of how being moral, even when no one was watching, had a really positive outcome.
Kind of tied that whole experience into how an honor code extends beyond the classroom, etc., as physicians you should be honorable under all circumstances, and so on.