The effective period of a permit issued under this chapter, and of all rights and privileges granted in or under authority of this chapter, shall not exceed twenty years from the date of issuance of such permit. At the end of such twenty-year period, if the well is still in operation and the permittee is not in violation of any Federal, State or Municipal law relative to the drilling and operation of oil and gas wells, the Mayor shall renew such permit upon the payment of a fee as set forth in Chapter 208 of the Administration Code (the General Fee Schedule).