Which episode explains the meaning of the symbols on the palm of the hands? From opening 16, what do these symbols mean and which episode exactly is it from?
The symbols can be found on an old man called Bunpuku's both palms. He was the former Jinchūriki of Sunagakure.

Watch Naruto Shippūden episode 392




  In his left palm, the kanji [受]{うける} (U-ke-ru) means accept and receive.
  In his right palm, the kanji [心]{こころ} (Ko-ko-ro) means heart and mind.


Together with two palms, it forms the kanji [愛]{いとしい} (I-to-shi) which means love and affection.