As far as I know, the post code was allocated new last year. Lots of issues with deliveries in the first months
Although the postcode is an 'S' we are not actually part of Sheffield, or South Yorkshire. This is Chesterfield, so in Derbyshire. A quick look at the document you linked to and the map showing it's coverage, doesn't reach us here down here.
I've done some digging on the local council site, (Chesterfield) and that mentions a 'Digital Derbyshire' organisation, which I'm assuming is the equvilant of the Sheffield one you linked to. Here http://www.digitalderbyshire.org.uk/
Unfortunately I'm at work, and for some reason the site is blocked (white list policy here), so I'll have to wait till I get home tonight before I can have a look.