If the brother has had his hands in the till, there is no statute of limitation on a criminal offence.
It applies to contract and negligence (6 years) but not any criminal activity or theft which this is.
You would be not able to pursue civil claim through the courts therefore but you and be able to pursue this via the police. The police are going to need firm evidence that he did misappropriate this money.
Contested probate is not cheap and I hope that your brother has plenty of money if he’s going to instruct solicitors to deal with this for him so don’t be at all surprised if this is just an initial letter to try to frighten you off. If he can’t pay back the money, he is unlikely to be able to pay £200 per hour or thereabouts that a solicitor would charge for a protracted matter.
For an estate of this size, the whole of the funds could easily be gobbled up in legal costs.
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You need to be careful if you are not releasing all the money. If you think there may be debts to be paid or other liabilities, you might want to consider making an interim distribution whereby you release, say, 50% or 75% or a figure like that of the bequests pending the final totting up.
If your brother is one of the beneficiaries, it would not be unreasonable to hold his share back in total pending the investigation of alleged theft.