I've refrained from commenting so far, because I don't really see anything so unusual about this family. Alright, I'm 50 (baby boomer), so I grew up during the sixties and seventies, and family sizes have decreased over time, but many of my classmates (many Catholics) came from families that size, and my b-i-l (formerly LDS) has 10 siblings. His parents rent a hall at Christmas, because nobody's house can accommodate all the spouses, children, and grandchildren.
I grew up with two brothers, a sister, and one foster brother. One brother was 3 1/2 years older, my sister 3 1/2 years younger, and the rest of us (twin, foster and I) were the same age. My mother went back to work full time when I was 11, and we were expected to look after our little sister, do the everyday cleaning, straightening up, and laundry, and cook dinner. We didn't feel "cheated" out of our childhoods, because that was the norm among classmates, friends, and neighbors. One friend, who had a stay-at-home mom, didn't have those responsibilities, but her mom also wouldn't allow her and her two siblings inside the house when they had school vacations, so she obviously wasn't envied.
One thing that gives me pause is the home schooling, as I think that deprives these kids of a social network outside the family.