My mom passed 5 yrs ago in Mich,no will,no bills,no real estate.,only a savings acct she showed only to me. Do I have to share it with brothers?

I just stumbled on an savings account my mother had that is now in Mich. unclaimed property coffers.She had no will,no outstanding bills,no real estate or any other bank accounts. She showed this account only to me just before she passed unexpectedly,telling me to not mention it. Thinking back,I think she meant to my brothers,who she was very angry with. The amount is just over $27,600,which is over the $15,000 estate claim limit for small claims in Mich. but not large enough for the bigger limits. According to the state's unclaimed property site,I can make a claim by producing required documents to the state,which I have,but I also have a question about other heirs section. Do I absolutely have to include them even though I know my mother did not want them to know about it? And if so,can I distribute the money to them myself? I don't live in Mich.,traveling to probate court is not be financially doable for me,nor would the cost of a probate lawyer.