Create a new regular table from visible and filtered rows of DataTable

I have a DataTable with paging, filtering and ColVis plugin (column visibility). By pressing a button, I need to get the visible and filtered data of all pages, and generate a new regular table below with this data (this one without datatables, pager, ...).

I tried with oTable.rows({search:'applied'}).data() to get the rows, but instead of getting only the data of the visible columns, it gets the hidden ones as well. And anyway I don't know how to generate the new table.

Here's a demo

How could I do this?

Thanks in advance