Default node-based permissions based on user role?

Hello,

We need a bit of guidance for this scenario:

1. I log in as a Board Member (role)
2. I create a basic page
3. Only other Board Members (role) can see this node
4. Other roles can also create basic pages but their's should be viewable by all roles

Is there a way to set the node-based permissions by default based on a user's role? So if their role is Board Member, any node they create automatically has the appropriate permissions?

Thanks!