Cessna 340/340A
Air Traffic Control Fully Certified
Communication Breakdown
ATC Issue All Types; Conflict Airborne Conflict; Deviation / Discrepancy - Procedural Published Material / Policy
Air Traffic Control Separated Traffic
Human Factors; Procedure
Working Clearance Delivery I read a clearance to ZZZ. Looking at the strip numerous times thinking I missed something I reluctantly passed it left to the Ground Controller. The clearance I read was issued with a SID. The performance of the aircraft was lower than I realized and the pilot should have received a right turn to a heading of 220. It was realized by the Local Controller once the plane was cleared for takeoff. The plane departing in front of the twin Cessna was also IFR and on a 220 heading so they reacted quickly and got a heading of 190 to keep the diverging courses. With the 220 heading the initial altitude is 2;000 feet [and] on the departure its 5;000 feet. The Departure Controller fixed this when the plane came over to his frequency. This situation started at the very first Controller; (myself); and was missed by the line of controllers that worked him out of our airport and airspace. It is a perfect example of 'the swiss cheese' effect. The only recommendation I can see helping this situation is making departure procedures strictly for a jet and/or twin engine aircraft and so on.
Tower Clearance Delivery Controller described an incorrect departure routing assignment that was finally discovered and corrected by the Departure Controller; noting this was a perfect 'swiss cheese' example.