If you are using any of these list templates, you will notice that the Nintex Forms button is grayed out. This is due to how the list template is generated in SharePoint and these are not supported by Nintex Forms.
Designing custom list forms for the following is not supported:
In addition these List Templates IDs are not supported due to how SharePoint generates them:
See a complete listing for 2010/2013 list templates here: https://msdn.microsoft.com/EN-US/library/microsoft.sharepoint.splisttemplatetype.aspx