"Network code" as described here isn't the academic definition, I think he's just describing colloquially "i'm using a code in my network". The technical definition is a Packet Erasure Channel [1], which any erasure code [2] can deal with. Network coding is a more unexplored technique where routers in the network combine packets in various ways that are better than regular routing: see the example at [3].
The vendor mentioned in the article, Steinwurf ApS, says on their website that "Our products are based on Random Linear Network Coding[...]" [1]. In this case, it looks like they're using it as an erasure code, though.
Their phrasing appears to state they use TCP/NC, a network coding-based variant of TCP introduced in an academic paper by (some of) the same people behind this initiative:
[1] http://steinwurf.com/technology/