The central value is 10. There must be at least two 6s, so two data values will be less than the median, so we need two non identical values bigger than 10.
A typical dataset would be: 6, 6, 10, a, b. We have to find a and b. Mean is (6+6+10+a+b)/5=10, so a+b=50-22=28. And both a and b are bigger than 10. So 13 and 15, 12 and 16, 11 and 17 would fit, so some example datasets are:
6, 6, 10, 13, 15
6, 6, 10, 12, 16
6, 6, 10, 11, 17