If the access technology yields 6ms, everything thereafter (excluding the native fibre propagation delay, 1ms?) is simply inefficiency.
6ms to 13ms is sloppy design/aged hardware/misconfiguration.
The end
But its not that. 6ms is only the time taken to the bRAS - ie Manchester. The additional 6ms on top of that bringing it up to 12ms is all the way to London.
When you break that tracert down to its most simplistic form it interprets as
6ms - EU Premises <-> RAS - Enter the CORE Network at Manchester
12ms - EU Premises <-> London - Exit the CORE at Ealing London.
13ms - EU Premises <-> BBC - extra 1ms to get from Core exit point to the BBC server.