News International's former legal adviser Tom Crone is the 25th person to be arrested under Operation Weeting, the Metropolitan Police's investigation into allegations of phone hacking.
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Jessica Urbano Ramirez was two weeks away from her 13th birthday when she died in the June 14 blaze.
No-one was on board the single-decker vehicle, Humberside Police said.
The disgraced film producer has been the subject of an investigation in the US into allegations that he sexually assaulted numerous women.