THE LOCAL CONTROLLER CLEARED SIMMONS FLIGHT 4298 FOR TAKEOFF ON RUNWAY 32L T-1 WITH INSTRUCTIONS TO FLY THE RUNWAY HEADING AFTER TAKEOFF. SHE THEN CLEARED AMERICAN 1106 FOR TAKEOFF ON RUNWAY 32L WITH INSTRUCTIONS TO TURN TO A 010 DEGREE HEADING. SIMMONS FLIGHT 4298 WAS THEN CLEARED TO A HEADING OF 360 DEGREES. THIS TURN VIOLATED THE MINIMUM DIVERGENCE HEADING SEPARATION STANDARDS OF 15 DEGREES FOR AIRPLANES TAKING OFF ON THE SAME RUNWAY AS SET FORTH IN ATC HANDBOOK 7110-65G.