If I were to die while an active employee, would my survivors get to continue Federal Employees Health Benefits program coverage?
If you were enrolled in self-only coverage as of the date of your death, no.

If you were enrolled in self and family coverage:

If there is a survivor annuity payable to a spouse and/or children, the survivor may continue coverage. Premiums will be deducted from the survivor annuity.

If there is no survivor annuity payable, the enrollment terminates with the survivors having the right to convert to a private policy within 30 days. Exception: If you were covered under the Federal Employees Retirement System and you had at least 18 months of service, your survivor may keep the coverage.