Antonio Conte has no real reasons to walk away after this first success, he has just started. He needs to prove, first to himself, and then to Inter that he is capable of sustaining these kind of results. Winning Champions league would be, ça va sans dire, ideal.
IMO, it would be very stupid to suddenly switch to a new team.
Unless he wants to keep his reputation intact and move on to a new challenge.
Yes they won this season but it was because Juventus was so bad, and because Inter sacrificed their UCL and Europa campaigns.
They played brilliant football at the start but now if you notice, they try to get a goal, then sit back and defend (typical Conte) and try to counter. This is not how you win consistently at modern football.