Here's a link to information on what level of giftedness is indicated by certain scores on various ability tests:
http://www.hoagiesgifted.org/highly_profoundly.htm

As you can see, a score on the WISC-IV of 152-160 can be considered profoundly gifted. Of course, other things can come into play as well. Some people think an intense drive to learn things can be the difference between a highly or exceptionally gifted child and a truly profoundly gifted child, but others acknowledge that some very gifted individuals do a very good job trying their best to hide their abilities in an effort to fit in.

Certainly, your DS's scores indicate at least HG+ (highly gifted plus) with the possibility of being "more." I think an application to DYS is certainly in order.

Also, as someone else mentioned was the case for them, we were told skips don't happen in our district. That changed with my DD when they saw it was necessary to best meet her needs. And, in fact, the skip was so successful that they have ended up doing several other skips since then, including for my DS. So, don't take no for an answer without a meeting or two (or three).

She thought she could, so she did.