Confirms what's been said, you've got FTTC and can have FTTP if you are prepared to pay for it - the initial cost could be very high.
cost of the FTTPoD installation and connection can be seen in the Openreach price list
. For an estimated 54.7/15.7 Mbit/s FTTC connection, I'd estimate the OP to be in Band B - 200 to 400m from the aggregation node (which is likely to be near the cabinet).
For Band B, the ISP will have to pay £1100 + VAT installation costs, then £456 + VAT a year for three years for the circuit (you have to take the 330/30 Mbit/s option on FTTPoD). The backhaul and other ISP costs have to be added to this.
I'm not sure any ISP offers a retail FTTPoD product, but I'd expect Band B costs in the range of £1320 install (i.e. passing on the entire installation costs) and a minimum of £60/month (and probably, more realistically, £80-100 per month) on a 36 month minimum contract period.
BT Retail may offer the cheapest monthly costs, though I believe they are not currently offering FTTPoD on consumer Infinity Option 4 pricing.
As can be seen, FTTPoD really is a business product.