Olympic Problem - Painting points red on a circumference

Question

There are $33$ points on the circumference of a circle that divide it into $33$ equal parts. These points are numbered consecutively and clockwise as $0, 1, 2, 3, \dotsc, 32$. Some of these points are painted red with the property that no two pairs of red points are the same distance apart (we define the distance of two points on the circumference as the minimum arc length between these points). What is the highest number of points that can be painted red?