Best thing to do is sleep...I had a 14 hour Cape Town to London flight a few months ago, sleep is the only thing that can make the flight feel shorter. Hopefully you will have the personal video monitor so you can control your own in flight entertainment - that helps a lot too.
Don't stay at the airport in London. Heathrow is a disaster, too many people and not enough space. Take the advice of the other posters and go into the city and have a look around.
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