SOCATA TB21 INST RATING STUDENT; AND INSTRUCTOR; BOTH HEARD TWR CTLR CLR THEM TO CROSS RWY TO WHICH THEY WERE HOLDING; AND THEN INSTRUCTED TO STOP BY TWR SINCE THE CLRNC WAS NOT FOR THEM.

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ON AUG/SAT/02; AT XA10 I LANDED ON RWY 31L AT RHV IN GOOD WX AND VISIBILITY. I WAS TOLD TO TURN OFF THE RWY AND HOLD SHORT OF RWY 31R; WHICH I DID. AFTER I HAD BEEN STATIONARY FOR ONLY A FEW SECONDS TWR INSTRUCTED ME TO CROSS RWY 31R AND TURN L ONTO THE TXWY (Y OR Z; I DON'T RECALL). SLIGHTLY PUZZLED BECAUSE I HADN'T TOLD THEM WHICH DIRECTION I WANTED TO GO I BEGAN TO COMPLY; MOVING SLOWLY. AT THE SAME TIME MY INSTRUCTOR BEGAN TO ACKNOWLEDGE THE TAXI INSTRUCTION. AFTER I HAD CROSSED THE RWY 31R HOLD SHORT LINE; BUT BEFORE I HAD ACTUALLY REACHED THE RWY ITSELF I WAS TOLD BY TWR THAT I SHOULD NOT HAVE MOVED AND THE INSTRUCTION HAD BEEN FOR ANOTHER ACFT. THE ERROR WAS THAT THE TWR HAD USED THE WRONG CALL SIGN -- BOTH I AND MY INSTRUCTOR CLRLY HEARD OUR CALL SIGN; AND COMPLIED WITH THE INSTRUCTION. THE LESSON I LEARNED FROM THIS IS THAT IN TAXIING; I SHOULD READ BACK THE INSTRUCTION BEFORE EXECUTING THE INSTRUCTION; INSTEAD OF DOING THEM BOTH AT THE SAME TIME. THE ONLY PROB WITH THIS IS THAT SOMETIMES THEY WANT ME TO EXPEDITE SOME TAXIING AND RWY XINGS; AND READING BACK BEFORE EXECUTION ADDS A SHORT DELAY.