Mind made sense of self. Self-centeredness, selfishness, self will, self-pity, all forms of self in the book are referring to is what is termed the ego. So, everything centers around me (my sense of self)- hence why the big book says the main problem centers in our mind.
A spiritual awakening is awakening to the fact that I am not that sense of self - so I am not my mind, my thoughts, my feelings, my reactions to my life circumstances, etc. A deeper power has been uncovered in me and that is what is awakened - and that is who I really am.