I'm not going to draw a map but I do give some advice how to get through tubes.
You should always move until you bump onto wall, unless told otherwise.

fly straight
turn to left
turn to right
turn to left
turn to left
turn to right
turn to left
turn to left
turn to right Now turn to left at first possibility to do so
turn to left
turn to right turn to right at first possibility to do so
turn to left
turn to right turn to left at first possibility to do so
turn to left
turn to right
turn to right

Hammerhead should emerge from tube system at this point.