I ran the same experiment as I did previously, however I maximized the k-mer common frequency score instead of minimizing it. I ran these trials a number of times. The correlation for the results ranged from r ≈ -0.7 to r ≈ -0.9. Below are some results.
This first graph is for when k = 6. The correlation was r = -0.888896739497015.
This first graph is for when k = 6. The correlation was r = -0.888896739497015.
The next graph is for when k = 8. The correlation was r = -0.909951770127658.