CORPORATE ACFT TAXIES ACROSS ACTIVE RWY.

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LANDED ON RWY 32 AT SRQ. CLRED RWY ON TXWY A1 AND TWR CLRED US TO 'TAXI ABC VIA TXWY A.' ABC IS LOCATED AT TXWY A3. I MISSED THE TURN INTO ABC AND PROCEEDED DOWN TXWY A TOWARD BRITE TERMINAL LIGHTS. APCHING RWY 22 I VISUALLY CHKED FOR TFC AND OBSERVED SMALL ACFT ON BASE. SINCE PNF WAS GETTING CLRNC OUTBOUND FROM TWR; I DID NOT VERIFY ANY HOLD SHORT INSTRUCTIONS. I CROSSED RWY WITHOUT CONFLICT THEN TWR ADVISED WE MISSED ABC AND TO MAKE A 180 DEG TURN AND HOLD SHORT. I TAXIED TO THE FBO WITHOUT FURTHER INCIDENT. CHAIN OF EVENTS: AFTER CLRING RWY; TWR ISSUED OUTBOUND CLRNC. PNF HAD HEAD DOWN. I ALSO HAD MY HEAD DOWN FOR A FEW SECONDS CHKING BRAKE TEMPS. THIS MAY HAVE BEEN ENOUGH DISTR TO MISS TURN. HUMAN PERFORMANCE: WE LANDED AT PIE A FEW HRS EARLIER. BOTH ARPTS HAVE A SIMILAR LAYOUT BUT FBO'S ARE IN DIFFERENT PLACES. I MAY HAVE HAD A MIND SET OF THE LAST ARPT (PIE) TO CROSS THE SHORT RWY TO GET TO THE FBO. CORRECTIVE MEASURES: OUR COMPANY ALREADY HAS GOOD SOP'S. HOWEVER; RUNNING A TIGHT SCHEDULE DURING A LONG DAY LEADS TO SHORT-CUTS. NEXT TIME I WILL HAVE A SLOWER TAXI SPD WITH HEAD OUT OF COCKPIT. ANY DOUBTS; I'LL STOP AND WAIT FOR PNF TO GET INTO LOOP.