Super admin would be highest level of admin as opposed to standard admins and if my memory serves correctly is uid controlled not necessarily gid, hence why your previous post about gid listing prompted me to state such, well i mean you have gid for the admin group and uid to define super admin..., hopefully that makes sense.
If you needed to add more than one super admin you could add them separated by a comma like so:
$config['super_admins'] = '1,2,3'; // you get the drift
* though, too many chiefs and not enough braves is not necessarily a good thing
ok back to discussing the confusion between super admin and admin
So your main admin account that would say be super admin and say other non super admins would be any other admins that can access the acp or what not or are not defined as a super admin.
Note: I provided the change above to allow all admin viewing of sub menu item if that was what you needed, I also provided this to see if the issues still occurs for you ..., because if it does..., then it is possible it is as i suggested and another plugin that has a submenu item in same menu may be causing an issue hence why I suggested to disable all plugins that may be adding a sub menu item in that menu one by one until the ad menu is appearing...., then if that is the case you know what other plugin is causing issues and we can then look at how that plugin is setting sub menu to see if we can modify it also to not conflict with other sub menu items. Also it is possible that if that is the case then other plugins adding menu item there will also be affected not just this one. Hopefully that makes sense.
Update: found the conflict social sites plugin
socialsites.php line 668 is:
function socialsites_admin_config_menu($sub_menu) {
And it needs to be:
function socialsites_admin_config_menu(&$sub_menu) {
Note: I discovered by first looking at your screenshot menu items and seeing page manager and socialsite...., I downloaded them and installed them..., then exactly like I suggested to you I disabled them one by one then enabling ad randomizer system and when I saw the culprit I simply queried the sub_menu..., edited it and bam it all works.
Example of the menu items working correctly after the socialsites plugin fix: