Private Page Views By Role Other Than Admin/Editor?

I was not sure where to put this.

Working with Private pages here. I have some private pages set up that can be accessed only by Admins and Editors. However, I do have a need for others to view the pages that I do not want to have any writing or editing rights at all. But I do not want ALL subscribers to be able to view them.

So, here is what I am looking to do in an ideal situation so please help me figure out what I CAN do in the realistic situation.

All admins and editors can see private pages (done)

Have a role (group) of users that can also view the private pages, but the only other rights they have are the same as public and subscribers.

Is this possibe?

Thanks.

Mike