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Willing to spend extra few days to visit Newcastle and its surroundings? Have a look at this website and plan your visit!
Some "must see" around the city centre:
The Quayside
And if you have time to travel a bit:
Metrocentre, for shopping
Durham (12 min on the train)
York (1 hour on the train)
Edinburgh (1h45 on the train)
Hadrian's Wall (using the AD122 bus)