Sec. 6.11. DEATH BENEFIT FOR ACTIVE MEMBER'S ESTATE. If an active member dies and does not leave a beneficiary, the estate of the deceased member is entitled to a death benefit payment from the fund in an amount equal to the greater of:

(1) 10 times the amount of an annuity computed in accordance with Section 5.01(f-1) of this Act using the deceased member's service credit and average total salary as of the date of death; or

(2) the refund of the member's contributions that were picked up by the municipality.