MLG CREW PASSED AN ASSIGNED TXWY AND WERE INFORMED THEY WERE THEN ON A WT RESTR PORTION OF THE RWY.

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WHILE CLRING RWY 22 AFTER LNDG; WE WERE GIVEN TAXI INSTRUCTIONS BY THE TWR CTLR WHO I BELIEVE WAS ALSO WORKING GND CTL. WHEN THE AIRCREW IS ENGAGED IN GETTING THE ACFT SLOWED TO CLR THE RWY; THIS IS NOT A TIME TO BE ISSUING FURTHER INSTRUCTIONS. WE CLRED RWY 22 AT THE INTXN WITH RWY 28; HDG WBOUND AND MISSED TXWY 'A' TO THE RAMP. APPARENTLY; WE HAD BEEN INSTRUCTED TO TURN R ONTO TXWY 'A.' HAVING PASSED TXWY 'A' AND NOW PROCEEDING W ON RWY 28 BTWN TXWY 'A' AND 'K;' THE CTLR INFORMED US WE WERE TAXIING ON A PORTION OF THE RWY THAT WAS NOT STRESSED FOR OUR ACFT WT. HE; HOWEVER INSTRUCTED US TO CONTINUE STRAIGHT AHEAD AND CLR AT THE END OF RWY 28 AND TAXI TO THE RAMP ON TXWY 'K.' OUR COMMERCIAL ARPT PAGE INDICATES THE TXWY 'K' BTWN TXWY 'S' AND RWY 10-28 IS NOT STRESSED FOR AN MLG; BUT WE DID AS INSTRUCTED. THE ARPT PAGE DOES NOT INDICATE RWY 10-28 IS ACFT WT RESTR. THE CTLR STATED THE RWY SECTION BTWN RWY 4-22 AND TXWY 'A' IS OK FOR TURNOFFS TO CLR THE RWY. AN INDIVIDUAL FROM THE ARPT FACILITY WAS DISPATCHED TO CHK THE RWY AND STATED IT WAS FINE. I CALLED MY COMPANY'S ENGINEERING DEPT TO RESEARCH THE APPARENT WT RESTRICTION FOR RWY 10-28. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: WHEN QUESTIONED ABOUT WHETHER THE W END OF RWY 28 IS ACTUALLY WT RESTR; RPTR SAID HE LATER CALLED THE TWR SUPVR WHO REITERATED THAT IT IS. RPTR VOLUNTEERED TO DO A 180 DEG TURN AND TAKE TXWY 'A;' BUT THE GND CTLR DECLINED THE OFFER. HE HAS NOT HEARD FROM HIS ENGINEERING DEPT YET CONCERNING THE STATUS OF THE RWY.