Best to put your airline in the title line so others know which airline you're asking about (this forum is for nearly every airline the middle east and Africa).

But in your case actually the airline doesn't matter, no, no airline in the world is going to store your luggage for free for a week before continuing on. You're going to have to pick it up in Saudi and deal with it or pay for left / stored luggage counters which tends to run US$10-20 a day depending on the airport. (typically that's per piece I might add, some airports will allow you to fit all you can into a locker, but that's not the norm, usually they want a bit of flesh per piece you want to leave)