The shop targeted in Sloane Square is Gucci's flagship store.
It's thought that the Mercedes used to reverse into the glass doors may have been stolen.
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The one-year-old Yorkshire Terrier was attacked and killed while being taken for a walk.
The lifeboat crew carried the pair into their boat and dropped them off back at Tower Bridge as people watched from the riverside.
The huge painting took two graffiti artists thousands of hours to complete in east London.