It's always best if you can see the parent Koi. They should have very good "body", "skin ground" and then "Hi and sumi quality". The body line from the shoulder to the tail is most important. Volume, and bone structure, is important but especially a thick tail tube.
The skin should be a gentle white color that looks soft and thick. It should have depth and dimension. It should be like looking at silk, not cotton. This is a better quality than solid pure white.