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An air ambulance is reported to have landed in a park in Sycamore Road, Strood.
Witnesses say they saw police and paramedics coming out of a property in nearby Medway Gate.
A crowd of about 30 is reported to have gathered in the park next to the A228 Cuxton Road which links the M2 to Rochester.
A spokesman for the South East Coast Ambulance service said crews were called to a private address at 5.30pm and called for assistance from the air ambulance service at 6pm.