SOCATA TBM700 PLT HAD A RWY INCURSION AT SJC; AFTER FOLLOWING A KING AIR INTO POS. THIS WAS THE PLT'S FIRST SOLO FLT IN THIS ACFT.

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I PURCHASED A NEW TBM 700 A MONTH AGO AFTER FLYING A MALIBU FOR 4 YRS. DURING THE MONTH; I FLEW WITH AN INSTRUCTOR FOR 50 HRS TO LEARN THE NEW ACFT. THIS IS THE FIRST TURBINE ACFT I HAVE FLOWN AND I FOUND THE LEARNING CURVE STEEP; WITH THE TURBINE; VERY CAPABLE MODERN PANEL AND A MUCH HEAVIER ACFT ADDING TO THE LEARNING CURVE. THE FLT WITH THE INCIDENT WAS THE FIRST SOLO FLT IN THE ACFT. THE TBM CHKLIST IS EXTENSIVE AND I PULLED OFF INTO THE RWY 29 RUN-UP AREA AT SJC TO PERFORM THE PRE TKOF CHKLIST. I WAS VERY CAREFUL TO COMPLETE EVERY ITEM ON THE CHKLIST AND WAS FOCUSING ON THE TKOF AND FLYING THE DEP PROC IN SAN JOSE'S COMPLEX AND BUSY AIRSPACE. I COMPLETED THE CHKLIST AND TOLD GND CTL THAT I WAS READY FOR TKOF; HAVING BEEN TOLD TO CONTACT THEM WHEN READY TO GO. I THOUGHT GND CTL SAID 'FOLLOW THE KING AIR INTO POS AND HOLD ON RWY 29 AND CONTACT THE TWR ON XXX.XX.' I FOLLOWED THE KING AIR ONTO RWY 29 AFTER THE KING AIR STARTED HIS TKOF ROLL AND TRIED TO CALL THE TWR. I TRIED THE TWR TWICE WITHOUT RESPONSE AND RECONTACTED GND CTL; WHO GAVE THE TWR FREQ AGAIN (I HAD MIS-ENTERED THE TWR FREQ) AND I SUCCESSFULLY CONTACTED THE TWR. THEY CLRED ME FOR TKOF AND SAID THAT I WOULD BE CONTACTED LATER WITH THE TWR FREQ FOR A POSSIBLE INFRACTION. THE FLT PROCEEDED WITHOUT FURTHER INCIDENT TO ITS COMPLETION IN DES MOINES; IA. MY LOW TIME IN THE ACFT AND CONCERN FOR PREPARING THE ACFT FOR FLT MADE ME CONCENTRATE TOO MUCH ON THESE TASKS AND NOT ENOUGH ON COM WITH CTLRS. I AM SURE THAT THE INSTRUCTIONS WERE TO FOLLOW THE KING AIR TO RWY 29 AND CONTACT THE TWR. I KNOW THAT GND CTL CANNOT CLR AN ACFT ONTO AN ACTIVE RWY. IF THE INSTRUCTIONS HAD BEEN TO CONTACT THE TWR FROM THE RUN-UP AREA OR TO TAXI TO THE RWY AND CALL THE TWR; THIS INCIDENT WOULD NOT HAVE HAPPENED.