As Norfolk is a county, I will direct you to Norwich. The distance is about 110 miles and the journey takes about 2 hrs 35 minutes.
78.21 kilometres (48.6 miles)
Take A222 SIDCUP, from Bromley, to A20 to DOVER and the CHANNEL TUNNEL at FOGNAL CORNER. Take A20 to M25(N) towards DARTFORD CROSSING. Follow signs. Take M25, around London, to M11 towards STANSTED...
6,084.05 kilometres (3,780.47 miles)
London Stansted Airport, London City Airport, Humberside Airport, London Gatwick and Birmingham International Airport (United Kingdom)