Which excerpt from the odyssey best shows that the ancient greeks greatly valued the idea of home?

You did not provide any excerpts, however, here are a few topics from the Oddysey that could be applicable for your answer.

Using the excerpt from when Odysseus was trapped on Calypso's island, you can see how he admitted that she was more beautiful than Penelope, but he wanted to leave for his home on Ithaca rather.

Another reason is that many excerpts within the story have Odysseus mention why he's going through the pain and suffering of battling and escaping treacherous settings such as landing on Circe's island, assistance from Gods/Goddesses, and bearing the trait of an Epic Hero of holding ideals.

Thus, any excerpt that is relatively similar to stated above points should be your correct answer.

Hope this helps!