Lord Chief Justice Sir Declan Morgan listed the case for a further review on 9 November.
The Lord Chief Justice has been listening to prosecutors argue the sentences were "unduly lenient".
Mr Blunkett's move was stymied following an extraordinary outburst from the Lord Chief Justice.
The lord chief justice said he's well aware of the public perception, but insists it's a misconception.
First Thomas Bingham, the Lord Chief Justice, found that the general enjoyed absolute immunity for any crime.
But the Lord Chief Justice's principal private secretary Laurene McAlpine has said courts must act without external influence.
The lord chief justice argued this was important so the public understand what they can and cannot do.
Peter Robinson said he welcomed the Lord Chief Justice's "very open and helpful intervention on behalf of the judiciary".
His case has been rejected by the Lord Chief Justice, Lord Judge, Mr Justice Simon and Mr Justice Irwin.
The Lord Chief Justice's Office responded by acknowledging that public representatives were entitled to voice criticism of court decisions.
However, the case collapsed when the then Lord Chief Justice dismissed Raymond Gilmour's evidence as being "unworthy of belief".
BBC: IRA 'supergrass' Raymond Gilmour returns to Londonderry
In 1982, Lord Lane, the Lord Chief Justice, recommended that Miss Hindley should serve a minimum of 25 years.
Presiding judge Lord Woolf, the Lord Chief Justice, suggested that the shot would have had to be "extraordinarily accurate".
Former Lord Chief Justice, Lord Woolf, criticised the scheme, saying it undermined public confidence in the criminal justice system.
The families gave notice that they would be challenging the original judge, Northern Ireland Lord Chief Justice Sir Robert Carswell.
From 2005 until 2008, Lord Phillips was the Lord Chief Justice of England and Wales, the head of the judiciary.
The comments by the Lord Chief Justice's principal private secretary followed criticism about a perceived bias in recent bail decisions.
The hearing will take place before the Lord Chief Justice of England and Wales at the Royal Courts of Justice.
Lord Chief Justice Sir Declan Morgan said the trial judge had not dealt with the concept of a joint enterprise.
"But I will work closely with the Lord Chief Justice and judiciary on how this could be achieved, " he said.
He had hopes of becoming Britain's senior judge, Lord Chief Justice, but the occupant of the post declined to budge.
The Lord Chief Justice said strong progress had been made on his first programme of action on sentencing published last year.
When he was Lord Chief Justice, he went undercover to take part in a community service clean-up of a council estate.
The Lord Chief Justice of England and Wales is currently considering his verdict on whether the sentences given were "unduly lenient".
The case is listed to be heard by the Lord Chief Justice, Lord Bingham, Mr Justice Alliott and Mr Justice Newman.
However, after considering the submissions Northern Ireland's Lord Chief Justice Sir Declan Morgan said a retrial was in the interest of justice.
BBC: Real IRA murders: Brian Shivers faces Massereene retrial
The Lord Chancellor and Lord Chief Justice suggested Dr Reid be removed.
He became a QC at 38, and was made Lord Chief Justice, exceptionally, when his background was in commercial rather than criminal law.
After hearing from both sides Lord Chief Justice Sir Declan Morgan adjourned the application until more information on relevant legal issues could be provided.
Their cases are being heard by five judges, including the Lord Chief Justice and Lord Justice Leveson, at the Court of Appeal in London.
应用推荐