A B767-300 WAS DISPATCHED IN NON COMPLIANCE WITH AN EXTENDED RANGE ACFT HVY WHEEL AND TIRE INSTALLED ON A DOMESTIC AIRPLANE.

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ON MAR/THU/04; I WAS IN THE PROCESS OF PERFORMING A PREFLT INSPECTION/WALKAROUND ON ACFT AT GATE. AS I WALKED AROUND THE R MAIN LNDG GEAR; I OBSERVED A DEEP CUT; APPROX 2.5 INCHES IN LENGTH; THAT EXTENDED INTO THE TIRE GROOVE. ACCORDING TO LIMITS; THE TIRE NEEDED CHANGING. I LOOKED AT THE TIRE'S SIDEWALL; WHICH IS WHAT I HAVE GOTTEN IN THE HABIT OF DOING AND NOTICED B767ER STENCILED ON THE SIDE. I WENT TO GET A TIRE. THERE WAS A B767ER TIRE THERE; SO I BROUGHT IT BACK. ANOTHER TECHNICIAN AND MYSELF INSTALLED THE WHEEL ASSEMBLY; ROTATED THE TIRE AND TORQUED THE AXLE NUT PER MANUAL. THE ACFT LEFT. THE NEXT MORNING WE WERE INFORMED OF OUR MISTAKE VIA E-MAIL. I FEEL THIS INCIDENT COULD HAVE BEEN AVOIDED IF IT WERE NOT FOR THE FACT THAT WE HAVE MANY VARIATIONS OF B767'S; DIFFERENT SERIES. SOME ARE INTL; SOME DOMESTIC; SOME DOMESTICS ARE USED ON INTL RTES; SOME INTLS ARE USED ON DOMESTIC RTES. IF WE COULD KEEP DOMESTIC ACFT AND TIRES SEPARATE FROM INTL ACFT; THIS OCCURRENCE COULD BE AVOIDED.