Insert New Blank HomeScreen Page Between HomeScreen Pages iPhone

This can only be done in iTunes

There is no home screen customization to be found on this screen until you click on the device

Open iTunes, Click on the device in question

Click on the Apps page, the the plus sign (+) top right

This will add a blank homescreen to the bottom of the list, in my case homepage 12.

Now left click mouse and hold while dragging the page up to the desired location.