If you wanted to do it I don't think you'd have any problem. We regularly do the 750 miles between our house near Oxford and a flat in the alps in around 15 -16hrs, including the ferry and without breaking any speed limits. I've even done it a couple of times in the winter on my old XR600 on knobbly tyres in about the same time.
If you're starting in the UK timing the channel crossing is the biggest problem. It could take under an hour if you use the tunnel and get your arrival time right or about four hours if you use the boats and get it wrong.
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