Residents heard shots in the town of Wuerenlingen shortly after 11 p.m. Saturday night, police said. Officers then found "several" dead people lying outside and in a house in a residential area, they said in a statement.
All the dead were adults. Police said that they are working to identify them and that the circumstances of and possible motive for the shooting remain unclear.
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Wuerenlingen is a town of some 4,500 people northwest of Zurich, near the German border.
Police said they expect to give further information later Sunday.