A "run" is at least 6 pairs in the same style, same leather/colour, same sole and same last, but they can be of different sizes
Those are not the wholesale prices I'm familiar with, and - as I understand it - getting a wholesale account at EG is not as easy as just "ordering multiple pairs" these days. They're working at full capacity and are selective about who they create wholesale accounts for.]
I would have presumed the wholesale prices to be slightly higher (maybe by GBP 25.00), so it is possible the list is a season or two old. Do not forget that the VAT of 20% will be added to all orders that go to anywhere within the European Union. Apart from that, the wholesale prices do not surprise me a great deal, a mark-up of 150% is very common in the higher end of fashion retailing.
I agree, EG (or anyone for that matter) will not set up a wholesale account for someone (without a track record) who wants to put the occasional order through.