A KILLER convicted of gunning down his family has insisted he is close to release on the 34th anniversary of his murder conviction.

Jeremy Bamber, 59, is serving a whole life tariff after being found guilty of murdering his adoptive parents Nevill and June, both 61, his sister Sheila Caffell, 26, and her six-year-old twins Daniel and Nicholas at White House Farm, Essex, in August 1985.

He has always protested his innocence and claims Ms Caffell, who suffered from schizophrenia, shot her family before turning the gun on herself.

In an online post to mark the anniversary of his conviction, he claims that evidence proving he is innocent will be passed to the Criminal Cases Review Commission (CCRC) shortly.

Bamber said: “I am pleased to say that the case has moved forward considerably over the last couple of years.

“Up until then, knowing my innocence, I always had great hope that the judicial system would eventually have to accept that the case against me was just plain wrong.

“Now, because of the huge strides that we have made in disproving every facet of the prosecution’s case, I now have, not hope, but a real expectation that we will shortly achieve a favourable resolution of my case, my innocence proven, and that I will finally be released.

“We now have an overwhelming amount of evidence that not only undermines every single aspect of the prosecution case but proves that all of the major elements of that case were either deceptions or fabrications.

“All of this exculpatory evidence will shortly be presented to the CCRC. We believe that within the corpus of submissions there are at least ten separate issues, each of which, on their own merit, should overturn my conviction.

“Taken together, they make the case for my innocence utterly irrefutable.”

The killer also praised a Channel Five documentary shown about his case earlier this month.

Bamber had an appeal against his convictions dismissed by the Court of Appeal in 2002, and also had a High Court challenge to the CCRC’s refusal to refer his case rejected in 2012.

He has recently launched legal action over a refusal by the prison service to downgrade him from being a maximum security inmate.