June 2015
Liubing Yu sent us a proof that 7,720,220 is an upper bound for this month's challenge (without the constraint that the points need to be integers).
The best solution we received is 7,720,004. For example, Armin Krauss's solution: (-100,0),(100,0),(288,84),(139,-460), (603,-676),(780,780),(1585,-1086),(-1619,766),(-1360,-2802).