Name that connector! 16 pin Mini DVR IO
You will typically find similar looking connectors inside computers for PSU power connectors. However those are the larger Mini-Fit JR style which is 4.2mm pitch.

In this case the 16 pin connector is likely from the smaller Molex Micro-Fit 3.0 style connector, which uses a 3mm pitch connector.

You can find the connector series on the Molex website here. 

The mating connector will look something like this:



There is also the possibility that it is part of the Molex Nano-Fit range which is a 2.5mm pitch. Without an accurate scale or measurement of the pitch it is hard to tell. From a quick scale off the USB connector it is much more likely to be the Micro-Fit above.

For info here is a comparison of the various series within the Molex FiT family of connectors: