If you want to do it from code in a custom module, you could implement hook_menu_alter()
and adjust the access callback function to use a custom override:
function yourModule_menu_alter(&$items) {
// Override the access callback for the 'admin' page
$items['admin']['access callback'] = 'yourModule_admin_access_override';
}
In that override, you perform the standard access check and return the result, but add the check for the specific role and redirect instead, if needed:
function yourModule_admin_access_override() {
global $user;
// Does the user have access anyway?
$has_access = user_access('access administration pages');
// Special case: If the user has no access, but is member of a specific role,
// redirect him instead of denying access:
if (!$has_access && in_array('example-admin', $user->roles)) {
drupal_goto('admin/content/filter'); // NOTE: Implicit exit() here.
}
return $has_access;
}
(NOTE: Untested code, beware of typos)
You will have to trigger a rebuild of the menu registry for the menu alteration to be picked up.