I've seen this family on TLC a bunch of times. A little strange imo, wearing all the same outfits, their names, the oldest child seems to plan on staying with the family forever, and the mother just keeps on popping out babies (although she doesn't seem that deflated considering how many she's had). They seem content though (at least on TV) and are a thriving, functioning family. I think they built their own gigantic house.
Honestly, I don't see why the mother would want to keep on having children like that, but it's her choice and obviously they can support all of them. If having a HUGE family is what makes them happy, then I guess we should just accept that and move on.
As a side note: I don't think any of the children were accidents from not using a condom. I'm pretty sure parents chose to have all of these children.