Customized shortcodes on the WP network

Hi, we have the “Shortcode Creator” functionality added to our WP Multisite platform.
We would like to know if there is a way to create an specific shortcode in the Network, and use it from all the rest of the sub-sites.

We have many generic shortcodes created-duplicated on each sub-site and would like to know if just having them defined on the Network could allow us to use them from all sub-sites avoiding to create them again and again.

Thank you very much.