Got a distinction, but only because of some exceptionally high marks - is this a disadvantage?
I do not know what discipline you are in. However, in the programs I served on with PhD programs (health and social sciences), we would first weed out those who didn't make the minimum criteria (which your distinction seems to put you ahead of). Then, we would look at which candidates make the best fit for our program. For instance, if your high A grades are in areas of focus in the PhD program, that might make you still very competitive. However, if the Bs and C were in coursework related to the PhD program, but the A's were in areas less relevant, that might hurt. The committee would also most likely assess for fit for the writing and research requirements for their program as well as if there is an appropriate advisor for you there. If the programs require writing samples and/or personal statements, this is where you can make up for that. Typically, though, admitting students to a PhD program is often more about just their transcripts. Good luck!