Officers are investigating his death, which is being treated as unexplained, after Darran was found just before 6pm on October 13.
Police are appealing for anyone who may have seen him prior to this to come forward.
Detective Inspector Graham Garvie of the Lothians and Scottish Borders CID is leading the investigation and said: “The last sighting of Darran was at 6pm exactly two weeks ago, on Thursday 12th October at a property in Burns Wynd in Musselburgh. As well as wanting to hear from anyone who may have seen him after that time, we are also looking to establish where he spent the night that night and the Wednesday night beforehand.
“Darran was wearing a black hooded Mckenzie jacket with a red logo, navy jogging bottoms and blue sand shoes with a white sole when he was last seen - he was 5’ 7” tall, of slim build and had short brown hair.
“A week ago I appealed for information on Darran’s whereabouts before his death, and the response was disappointing - I would urge anyone who may have seen him or has any information that can help us to piece together his last movements and help his family understand what happened, to please contact police.”
Anyone with information should contact Police Scotland on 101 quoting incident 3061 of Friday 13th October, or Crimestoppers anonymously on 0800 555 111.