Multi site/Insert shortcodes programmatically

Dear Vaakash,

We have a multi site and there are some shortcodes which has to be changed one-by-one for each site if we would like to update it which is very cumbersome.

If you could help me with an idea how could I update a shortcode from PHP I could write some script to loop through all the sites, get a shortcode from the main one and then update it for the other sites.

Could you help me to point me to which function is responsible to update a shortcode? Or do you have some other suggestions please?