Kingdom 480p:

http://www.nyaa.eu/?page=download&tid=384635

Kingdom 720p hi10p:

http://www.nyaa.eu/?page=download&tid=384636

Oookay, this gets us to half way through volume 13. Next episode will probably get to the end of it, from what it looks like.
By the way, the series has 38 episodes in it, so there’s 9 left now. Also there’s no episode airing on the 31st.