Mr Butt, who was 61, was found with serious injuries in his house in Hyrstlands Road in Batley at around 9pm on Thursday, April 23.
A 64-year-old man who was arrested as part of the investigation has been released from police custody.
Police have released the picture of Mr Butt as they continue to appeal to the public for information.
Detective Chief Inspector Tony Nicholson said: "I am hoping by releasing this image it may jog someone’s memory of when they last saw Mr Butt or if they saw him in the days before his death.
"I would continue to ask people to come forward with any information they have to allow us to continue to piece together Mr Butt’s final movements before his death.”
Anyone with information which may assist can contact police on 101 or use the contact options on the West Yorkshire Police website, quoting log 2208 of 23 April.
Information can also be reported anonymously to the independent charity Crimestoppers.