Which action hook to update custom field at network/site-info.php in multisite on update site info

After some more research I found a solution, turned out that I had to use admin_init..

function pg_save_custom_site_options(){
    global $pagenow;
    if( 'site-info.php' == $pagenow && isset($_REQUEST['action']) && 'update-site' == $_REQUEST['action'] ) 
    {
        if ( isset( $_POST['blog']['custom_limit_amount'] ) ) 
        {
            $new_field_value = intval( $_POST['blog']['custom_limit_amount'] );
            if( is_int($new_field_value) ){
                update_blog_option( $_POST['id'], 'custom_limit_amount', $new_field_value );
            }
        }
    }
}
add_action('admin_init', 'pg_save_custom_site_options');