Creating custom project type based on Visual C++ project in visual studio 2013

I'm making a VSPackage for Visual Studio 2013 and I would like to create a custom project type for programming in C++ so I can add some custom Configurations and override certain things from my vspackage when the new project type is active (for instance, only have my package's menus appear when the user creates a new project of the custom type).

The best resource for creating a project type I've been able to find is here:

http://msdn.microsoft.com/en-us/library/cc512961.aspx

But it seems to be for making a project type based on a C# project. How would I go about making a project type for C++? I want complete control over the general property pages etc. so I don't think making a wizard template is enough in this case.

Thanks a lot for any help.