Rang them up and told them I'd only just got it because I've just moved house (sort of true), and she asked me what I would like to happen...
So I said: 'Er, well seeing as I only just saw it can I just pay the original £60 fine?'
She put me on hold and then came back and said they will do that as a good will gesture. £60 is £60, all for a 5 minute misdemeanour, but I still see that as a bit of a result.
And a tip for anyone who finds themself in the same situation and wants a bit of damage limitation.