B737 Undifferentiated or Other Model
Flight Crew Air Transport Pilot (ATP)
Flight Crew Type 2769
Situational Awareness
Deviation / Discrepancy - Procedural Clearance; Ground Incursion Runway
Flight Crew Became Reoriented; Flight Crew Took Evasive Action; General Physical Injury / Incapacitation
Human Factors
We thoroughly briefed the taxi including the hot spots; expected route; and runway crossings. I elected to taxi with both engines running to minimize distractions. I had expected to taxi Alpha; Charlie; cross 4L; 4R; Delta; cross 33L to 27. We were cleared Echo; Bravo; Charlie; cross 4L hold short of 4R. I looked at my taxi chart [and] read it back to the First Officer but for some reason I thought that M was Bravo in my mind. We had trouble up linking the weights into the FMC and the First Officer was heads down setting up the box. I approached 4L at Echo turned on my lights announced; 'Clear left on this runway are you clear right?' The First Officer said yes looked to his right and put his head back down. He then [saw] I was crossing 4L at the wrong intersection said 'Stop! Stop!' and slammed on the brakes trying to keep us from a runway incursion. We stopped just after the hold short bar. ATC saw that we were stopped [and] told us we had missed Bravo but were lucky because it was a closed runway. The flight attendants said that two of them were banged up a little but did not want to return to the gate to seek medical attention and wanted to continue on the flight. One flight attendant said that a cart fell on her arm and hurt it and the other said she hurt her back when she slammed into the coffee pot in first class.
I thought we failed because I failed to see us miss the B taxiway sooner. Additionally; we failed because as soon as I said; 'stop'; the Captain should have done just that - it is easier to have a conversation when you're not moving.
B737 flight crew reported two flight attendants were injured by an abrupt stop to avoid a runway incursion.