AR-11BC PLT WAS CLRED TO CROSS A PARALLEL RWY. AFTER HE CROSSED THE HOLD SHORT LINE; THE TWR CTLR TOLD HIM TO HOLD SHORT. THERE WAS ANOTHER ACFT LNDG ON THE PARALLEL RWY AT THE SAME TIME.

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I HAD JUST COMPLETED 3 TKOFS AND LNDGS ON RWY 31L AT RHV AND HAD INFORMED TWR THAT I WAS TERMINATING. I HAD LANDED AND MADE THE TURN OFF AT TXWY C. NORMALLY WE ARE INSTRUCTED TO HOLD SHORT OF RWY 31R DUE TO LNDG TFC. AS I WAS CLEANING UP THE ACFT AND SLOWING TO AN EXPECTED STOP; I WAS CLRED TO CROSS RWY 31R. KNOWING THERE WERE OPS GOING ON RWY 31R; I ADVANCED THE THROTTLE TO EXPEDITE MY XING. THE TWR THEN INSTRUCTED ME TO HOLD SHORT. BY THEN MY ACFT HAD CROSSED THE HOLD SHORT LINE. I LOOKED TO MY R TO SEE WHERE THE APCH TFC WAS AND SAW A CITABRIA JUST TOUCHING DOWN ON THE RWY 31R NUMBERS. RECOGNIZING THE ACFT AND KNOWING HOW THEIR STUDENTS ARE TAUGHT; (BEING A GRADUATE STUDENT OF THAT FLT SCHOOL); I HOPED THAT THEY WOULD BE SLOWED TO A STOP BEFORE THEY REACHED MY LOCATION. AS MY ACFT NOSE WAS ALREADY INTO THEIR FLT PATH AND I WAS ACCELERATING ACROSS THE 50 FT WIDE RWY; I KEPT GOING AND CLRED THE RWY ON THE OTHER SIDE. AS I CROSSED THE RWY CTRLINE; THE TWR AGAIN CLRED ME ACROSS RWY 31R AND TO HOLD SHORT OF TXWY Z. AS I CONTACTED GND TO TAXI TO PARKING; I WAS EXPECTING A REQUEST TO CALL THE TWR. NONE CAME. I KNOW IT WAS A CLOSE CALL AND EXCEPT FOR THE EXPERIENCE AND KNOWN TEACHING STANDARDS OF THE OTHER ACFT'S FLT SCHOOL (TO ALWAYS LAND AT MINIMUM LNDG AIRSPD); THIS INCIDENT MIGHT HAVE ENDED IN 2 DAMAGED ACFT.