Yes, and that is what I plan to do. Honesty is really important to me.
I've edited my letter to the suggestions here and wanted to get your input, if possible, before I submit my application.
"As a freshman, I was cited for plagiarism and unauthorized collaboration on homework in my computer science class. I was notified of both violations after the end of the semester, in May and June of 2018.
I received a disciplinary warning, a zero on both homework assignments, and an integrity assignment.
From that, I’ve learned the importance of academic integrity. I promised myself to stay honest and upright. I have since maintained a perfect disciplinary record for the past 7.5 years."
I would like to expand more about how I changed after making that stupid mistake, but its a 500 char word limit.