is there a back camera on the ipod 6 16gb?

sorry

no the are no back camera in iPod touch 16 gb

Incorrect. All the 6G iPod touches have both a front and back camera.

http://www.apple.com/shop/buy-ipod/ipod-touch

The early 16 GB 5G iPod only had a rear camera but about 2 years after initial release a from camera was added the 16 GB 5G.