CREW WAS DISORIENTED AND DID NOT UNDERSTAND TAXI INSTRUCTIONS ON TAXI FROM GATE AT CLE.

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FO CALLED FOR TAXI AND RECEIVED CLEARANCE TO TAXI TO RWY 23L VIA TXWY W AND PLAN ON DEPARTURE ON RWY 23L FROM TXWY W. HAVING OPERATED INTO CLE FOR MANY YEARS (NO RECENT EXPERIENCE) I ASSUMED AFTER LOOKING AT THE CHART THAT WE WOULD GO E ON TXWY W TO RWY 28 AND THEN TAXI DOWN RWY 28 TO RWY 23L. THIS WAS MY PAST EXPERIENCE AT CLE. REINFORCING MY TAXI PLAN WAS A 737 THAT HAD PUSHED BACK NEXT TO US AND BLOCKED MY VIEW OF THE RWY 23L ENTRANCE; AND COMMENTS TO B737 FROM GND TO LEAVE ROOM FOR US TO PASS BEHIND ADDED TO THE MIX; GIVEN THAT WE HAD A 15 MINUTE ATC DELAY AND HAD NOT RECEIVED OUR WEIGHT AND BALANCE. AFTER TURNING EAST ON TXWY W THE CONTROLLER SAW MY ERROR AND INSTRUCTED A 180 DEG TURN TO GET BACK TO TXWY W. SINCE I WAS ON TXWY W THE FO AND I DISCUSSED MY ERROR AND THEN HE AND I REALIZED OUR MISTAKE. GND THEN SAID RWY 28 AVAILABLE TO TURN AROUND AND AS WE APPROACHED RWY 28 WE WERE TOLD TO STOP AND CONTACT TOWER. TOWER SAID WE WERE INSIDE SAFETY ZONE FOR RWY 28 AND HE HAD TO STOP ILS APPROACHES IN PROGRESS. WE THEN WERE CLEARED ONTO RWY 28 DOWN TO RWY 23L AND THEN DEPARTED. TO AVOID FUTURE PROBLEMS IN THIS AREA I RECOMMEND THAT EITHER THE PORTION OF THE TXWY LEADING TO RWY 23L BE RENAMED OR THE PARALLEL TO RWY 28 BE RENAMED. THE CHART CURRENTLY GIVES THE IMPRESSION THAT TXWY W LEADS TO BOTH RWY 23L AND RWY 28.