B737-700 FLT CREW HAS A RWY INCURSION AT BWI.

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THE FO COORD FOR TAXI FROM PUSHBACK AND WAS INSTRUCTED TO TAXI THE LONG WAY AROUND TO RWY 28L VIA A L TURN TO TXWY F; L TURN ON TXWY P; R ON TXWY C TO RWY 28L. THE CAPT REPEATED THE TAXI INSTRUCTIONS AND COMMENCED THE TAXI. AFTER TURNING L ON TXWY P; THE CREW SAW CONSTRUCTION BARRICADES IN THE TAXI LANE. THE CAPT SAW AN AVAILABLE TXWY (TXWY E) AND STARTED TO TURN R (TOWARD THE ACTIVE RWY 28L). THE FO WAS VERIFYING THE TAXI INSTRUCTIONS AND VERBALIZED CONFUSION ABOUT THE INSTRUCTIONS. THE CAPT ASKED IF IT WAS CLR TO THE R. THE FO TOLD THE CAPT TO STOP AND ALMOST SIMULTANEOUSLY THE TWR INSTRUCTED THE FLT TO STOP. THE CAPT IMMEDIATELY STOPPED THE ACFT (THE NOSE OF THE ACFT WAS OVER THE HOLD SHORT LINE WITH THE NOSEWHEEL JUST PRIOR TO OR JUST ON THE HOLD LINE). THE TWR ISSUED INSTRUCTIONS TO TURN L AND JOIN TXWY P; R TURN ON TXWY C TO RWY 28L. THE ACFT ROLLING FOR TKOF ON RWY 28L REJECTED THE TKOF AND RETURNED TO THE TKOF END OF THE RWY. SUPPLEMENTAL INFO FROM ACN 712624: WHILE ON TXWY P; APCHING TXWY E; THE CAPT STARTED TO TURN R AND ASKED; 'ARE WE CLR?' I LOOKED QUICKLY L AND R ATTEMPTING TO FIND THE SIGNAGE INDICATING TXWY C; STARTED TO SAY SOMETHING; NOTICED ANOTHER CARRIER ACFT PROCEEDING TOWARD US ON (WHAT IS NOW KNOWN AS) RWY 28. GND CTL IMMEDIATELY XMITTED AN ORDER TO STOP. THE CAPT EXECUTED IMMEDIATE BRAKING.