As I wrote previously, if the policy designated a specific beneficiary (i.e. it was 'written in trust') then that person receives EVERYTHING (and, obviously, the others get NOTHING). Of course the beneficiary could choose to give some of the money to other family members but there's no obligation upon him/her to do so.
If the policy was written in such a way that the payment is made to the estate of the deceased person then whatever was written in his/her will stands. i.e. if he/she wrote "I leave everything to Battersea Dogs' Home", then BDH gets the lot and the family get absolutely nothing (unless they can succeed in a court claim, under the Inheritance (Provision for Family and Dependants) Act 1975, to show that the will failed to provide 'reasonable financial provision' for them).
If the money passes to the estate (as above), but there is no will, then the law relating to intestacy applies and the whole of the deceased person's estate (including the payment you refer to) MUST be distributed in accordance with those rules. As you've not told us how the remaining members of the family were related to the deceased person, we can't tell you how the estate should be divided up. All we can do is provide you with the rules via this link:
https://www.gov.uk/inherits-someone-dies-without-will
However many times you post this question, nobody here (and not even, say, a solicitor) will be able to give you further information unless you can find out whether the policy was written in trust and (if then still relevant) disclose the relationship of the remaining family members to the deceased person.