CAPT OF A DC10-30 TURNED ONTO CONNECTING TXWY AND CAUSED THE L MAIN TO FALL OFF TXWY INTO THE GRASS RESULTING IN ALL 4 TIRES OF THE L GEAR TO BE CUT. ALL 4 TIRES WERE REPLACED AFTER GATE ARR. REVIEW OF ARPT REMARKS REVEALED THAT THIS SIZE OF ACFT WAS NOT AUTH TO TURN ONTO THAT TXWY.

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AFTER LNDG AND EXIT FROM RWY 14L AT IAH INTL; GND CTL INSTRUCTED ME TO MAKE FIRST L TURN ONTO TXWY WA; TAXI N TO GATE. TURN IS APPROX 120 DEGS OF TURN (VERY TIGHT FOR A DC10). I FELT A TUG ON THE L SIDE OF ACFT AND THOUGHT IT MIGHT BE SCUFFING OF NOSE GEAR. UPON STRAIGHTENING NOSE GEAR; ALL SMOOTHED OUT. I THEN CONTINUED TO GATE. POSTFLT REVEALED ALL 4 TIRES ON L TRUCK DAMAGED WITH MUD AND GRASS ON THEM; AN APPARENT TXWY EXCURSION. (NONE OF THE TIRES WENT FLAT.) ON PAGE X OF THE IAH COMMERCIAL CHART; A NOTE STATES THAT A TURN ONTO THIS TXWY BY ACFT WITH WING SPAN OVER 118 FT IS NOT AUTH. AT THE TIME I FELT IT WOULD BE A TIGHT TURN AND SHOULD HAVE RELIED ON MY INSTINCTS. THERE WAS NO CONCERN FROM THE OTHER 2 CREW MEMBERS. THE NOTE WAS IN THE ARPT DIAGRAM PLATE BUT IT WAS NOT FOREMOST IN MY MIND. I ACTUALLY INTENDED TO USE THE SECOND TURN (TXWY WB) BUT GND CTL INSTRUCTED ME TO TURN ON TXWY WA. STILL; I AM ULTIMATELY RESPONSIBLE AND HAD I INCORPORATED PAGE IN MY PLANNING; WOULD HAVE QUESTIONED GND CTL.