Speaking after today's hearing Solicitor General Oliver Heald, who referred the sentence to the Court of Appeal for review, said: "It is hard to overstate the seriousness of this crime."
Carl Mills murdered three generations of the same family, leaving a chasm of grief.
I asked the Court of Appeal to look again at this sentence, as despite it being a life sentence with a term of 30 years minimum, the fact remains that Mills denied having set the fire and maintained that stance at trial.
I am thankful that the Court of Appeal has today increased his minimum term to 35 years and I can only hope this offers some degree of reassurance to the public.
28 year-old Carl Mills has appeared at Caerphilly Magistrates Court this morning charged with three counts of murder.
It follows the death of Kim Buckley, 46, her daughter Kayleigh, 17, and six-month-old granddaughter Kimberley who were found following a fire at their home on the Coed Eva estate in Cwmbran on Tuesday.
Following today's hearing Mills will appear at Newport Crown Court on Monday morning.