I need to open an interface/site in a new tab by passing the data from the current tab

You could try a!urlForSite(), and wrap yourtext list items in a JSON string, but I'm not sure whether you'd run into a URL Parameter size limit if trying that approach.

I tried that but got characters limit

In that case you should probably figure out a solution where you write those entries to a DB table on the original interface, and just pass a unique key from your first interface to your second (via url parameters), then when the second one loads, query the database for values matching that unique key.

In that case you should probably figure out a solution where you write those entries to a DB table on the original interface, and just pass a unique key from your first interface to your second (via url parameters), then when the second one loads, query the database for values matching that unique key.