There has never been any houses on this road, so no post code exists.
Before Eachill Gardens was built the road at the end of Eachill ran through and carried on across the fields to the golf club (I believe). This was later changed to the road between Saint Charles Road, once Eachill Gardens was built and the road blocked.
This photo shows the road under construction from Saint Charles Road, as well as Eachill Gardens being built.
I believe that the road at this time was moved from Eachill to Saint Charles Road.