AN MLG ACR TAXIED ACROSS AN ACTIVE RWY THAT IS NOT MARKED IN THE CONVENTIONAL MANNER.

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ON 10/X/92; I WAS TAXIING NE ON THE 3/21 PARALLEL TAXIWAY AT TUS. WE WERE INSTRUCTED BY GND CTL; WHO WAS WORKING BOTH TWR AND GND; TO TAXI TO THE GATE VIA TAXIWAY 2 AND HOLD SHORT OF 11R/29L. I MISSED THE HOLD SHORT INSTRUCTION. IT WAS NIGHT AND THE LIGHTS AT THE EXTENSION OF RWY 11R ARE TAXIWAY LIGHTS; NOT RWY LIGHTS. I CROSSED THE TAXIWAY/EXTENSION AND WAS THEN TOLD BY GND/TWR TO CONTINUE TAXIING ACROSS THE CLOSED RWY 11L/29R AND HOLD SHORT OF THE 11 PARALLELS. THE CTLR THEN TOLD US THAT WE WERE PREVIOUSLY TOLD TO HOLD SHORT OF 11R. I CALLED THE TWR AFTERWARDS AND EXPLAINED THAT I MISSED THE HOLD SHORT 11R CALL AND ASKED WHY IT IS MARKED WITH BLUE TAXI LIGHTS. SHE REPLIED THAT IT IS A RWY EXTENSION. CONTRIBUTING CAUSES WERE UNFAMILIARITY WITH LNDG ON 3/21 VERSUS THE USUAL 11L/29R. THERE WAS SOME CONFUSION ON MY COPLTS PART AS TO WHERE 11R WAS DUE TO THE BLUE VERSUS WHITE LIGHTS. HE REMINDED ME OF THE HOLD SHORT CALL; BUT THIS WAS AFTER XING 11R AND PRIOR TO THE CLRLY MARKED 11L RWY LIGHTS. SUPPLEMENTAL INFO FROM ACN 222795. AFTER LNDG ON 21 AT TUS; WE WERE CLRED BY TWR TO THE RAMP HOLD SHORT OF 11R. I LOOKED UP FROM THE CHKLIST AND WE WERE XING 11R; INADVERTENTLY. THE TAXIWAY CROSSED THE OVERRUN PORTION OF 11R THERE ARE NO LIGHTS AT ALL; BLUE OR WHITE. WE BASICALLY DIDN'T SEE IT COMING. TWR CALLED AND SAID THAT WAS 11R WE JUST CROSSED. THE LIGHTING AND RWY/TAXIWAY DESIGNATION IS VERY POOR.