I was recently setting up a SharePoint installation using AutoSPInstaller and when I was looking through the list of available Site Collection Templates, astonishingly enough, I could not find the Publishing site in the list of Available Site Templates to choose from! In fact, AutoSPInstaller only has a small subset of the total available templates for SharePoint 2013.
If you want the actual list of available Site Collection Templates for SharePoint 2013, you will want to review this article which provides a PowerShell script for listing all of the available templates:
http://www.funwithsharepoint.com/sharepoint-2013-site-templates-codes-for-powershell/
Alternatively, you can run the PowerShell script provided in this article to list out all of the available templates for your own reference: http://blogs.technet.com/b/praveenh/archive/2013/04/04/get-a-list-of-web-templates-and-ids-in-a-sharepoint-site.aspx
You can then enter one of the Template IDs in AutoSPInstaller to create the Site Collection using the appropriate Template!
If you want the actual list of available Site Collection Templates for SharePoint 2013, you will want to review this article which provides a PowerShell script for listing all of the available templates:
http://www.funwithsharepoint.com/sharepoint-2013-site-templates-codes-for-powershell/
Alternatively, you can run the PowerShell script provided in this article to list out all of the available templates for your own reference: http://blogs.technet.com/b/praveenh/archive/2013/04/04/get-a-list-of-web-templates-and-ids-in-a-sharepoint-site.aspx
You can then enter one of the Template IDs in AutoSPInstaller to create the Site Collection using the appropriate Template!