Paris Brown, 17, had her mobile phone seized and was interviewed under caution by Special Branch investigating the material, they said.
The teenager was forced to stand down from her £15,000-a-year-role as Kent Police's youth police and crime commissioner earlier this month following publication of the tweets.
Today it emerged that Paris's lawyers, Olswang, have written to Kent Police Chief Constable Ian Learmonth about the scope and nature of the investigation, including the decision to seize her phone and for Special Branch to quiz her.
More top news
Passengers on ten flights were left waiting for bags due to staff shortages. Gatwick has apologised.
Sixty firefighters from across Dorset, Wiltshire and Hampshire have been battling a fire in a scrap yard.
The weekend weather in the South and South East