That's probably the hardest part of the game.
I died there for like half an hour.
What finally worked...
1.) Equip Valkyrie.
2.) Go to a corner immediately after opening the door (left or right).
3.) Shoot a dead lock at the ground.
4.) Turn (LB) one of the spiders in front of you, shoot all the ones behind you, start charging up a second deadlock.
5.) As soon as it drops, run for the middle pipe and drop the dead lock behind you. The spiders will all attack the one spider you used LB on and will give you enough time to get to the door.
6.) once you drop the dead lock, run like hell down the hall. There will be another group coming in front of you after you shoot the first one, so take care not to miss.
7.) Drop the last deadlock behind you after you kill the second wave, and run for the ladder.
It's easily the hardest part of the game to be honest. After that point, you start getting upgrades out the ass to where you just destroy things.