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Police officers did discover drugs paraphernalia at the Wrotham home of Peaches Geldof.
The force revealed the details as it moved to quash inaccurate reports suggesting nothing connected to drugs was found and that the scene had been tampered with prior to police arriving.
An inquest heard that heroin played a part in the 25-year-old mother-of-two's death and a police investigation has been launched to find out who supplied the Class A drug.
In a statement DCI Paul Fotheringham said: "While no detail will be provided around specific items, to prevent further speculation I will confirm that contrary to rumour in the media my officers did seize drugs paraphernalia from the address. The coroner has authorised the disclosure of this information."
Peaches was found dead by her husband Thomas Cohen. He discovered his wife in a spare bedroom with one leg dangling off a bed and the other tucked underneath her. She was slumped forward.
DCI Fotheringham added: "I would like to make it clear that Thomas Cohen is not in any way under suspicion of any involvement in Peaches Geldof-Cohen’s death or our concurrent investigation into the supply of drugs.
"He has not been arrested or interviewed under caution and there is no plan to do so. The only statement he has provided related to his discovery of Peaches body, which is a standard requirement. We are in regular contact with both sides of the family to keep them apprised of our progress.
When emergency crews arrived at the couple's home in Fairseat Lane, Wrotham, on April 7 they pronounced 'life extinct'.
DCI Fotheringham also played a key role at the opening of Peaches' inquest, held at Gravesend Town Hall on Thursday.
He said Peaches - the daughter of ex-Boomtown Rats star Bob Geldof - appeared to be her "normal self" and had been "making plans for the future".
He said: "All of the friends and family who had contact with Peaches during this period describe how she seemed her normal self and was making plans for the future, including booking a family outing for her sons the following weekend.
"There was no cause for any concern."
Mr Fotheringham said Peaches was due to meet family on Saturday but bad weather meant it was cancelled.
She spent most of Saturday alone but was in regular contact with her friends and her husband.
Mr Cohen's father Keith had brought their youngest child, Phaedra, back to Wrotham and "spent half an hour with Peaches" before leaving that same day.
She last spoke to a friend at 7.45pm on Sunday, the last anyone heard from her before her death.
The inquest heard Mr Cohen had attempted to get hold of Peaches "with no success".
He arrived at the family home with his mother Sue at 1.30pm.
Read the police statement in full here
DCI Fotheringham said: "Thomas entered the property and went upstairs thinking that Peaches may have been sleeping.
"Thomas located Peaches in a spare bedroom and it was obvious to him that she was deceased.
"She was located on the edge of a bed with one leg hanging down to the floor with the other leg tucked underneath her; she was slumped forward across the bed.
"Thomas called for his mother and they quickly located Phaedra and called the emergency services."
A post-mortem examination held two days after she died by home office pathologist Dr Peter Jerreat proved inconclusive.
Heroin was "likely to have played a part in her death", DCI Fotheringham said, and the investigation is ongoing.
Peaches Geldof's death was a cruel echo of her own mother's tragic fate more than a decade earlier.
"She had one leg hanging off the bed and another tucked underneath her. She was slumped forward over the bed" - DCI Paul Fotheringham
The 25-year-old socialite was discovered dead at the home with her 11-month-old son Phaedra.
The inquest comes just a week after Peaches' funeral was held in the St Mary Magdalene and St Lawrence church, which sits next to her father Bob Geldof's house Davington Priory.
Meanwhile, it emerged today her devastated father Bob Geldof has got engaged to Jeanne Marine, his girlfriend of 18 years.
He first started seeing the 49-year-old French actress after his divorce from TV presenter Paula Yates in 1996 before her death four years later.
Jeanne's friend Jerry Hall, the Texan actress and former wife of Sir Mick Jagger, told a journalist: "Bob has proposed. She is over the moon. Jeanne Marine has been a rock and a tower of strength over this."