Although I can't get it to work you can alter the
Advanced bbcode permissions mod to control the usergroups that can use the new tags.
Download the Advanced permission add-on and edit the bitfield_advancedbbcodepermissions.xml file to add these two lines to the group options:
<bitfield name="allow_bbcode_admin" group="advanced_bbcode_permissions" phrase="allow_bbcode_admin">1024</bitfield>
<bitfield name="allow_bbcode_mod" group="advanced_bbcode_permissions" phrase="allow_bbcode_mod">2048</bitfield>
Save that. Then open the product-advancedbbcodepermissions.xml file and add these two lines:
<phrase name="allow_bbcode_admin"><![CDATA[[ADMIN]]]></phrase>
<phrase name="allow_bbcode_mod"><![CDATA[[MOD]]]></phrase>
Save that file.
Then install the Advanced permissions product as per the instructions and you can then use that to control permissions to the new "admin" and "mod".
(Word of warning - I can't at the moment test this but it should work!)