The excerpt that best shows the ancient Greeks' value of home is:
"My home is on the peaked sea-mark of Ithaca under Mount Neion's wind-blown robe of leaves, in sight of other islands—Dulichium, Same, wooded Zacynthus—Ithaca being most lofty in that coastal sea."
This passage highlights the protagonist's deep yearning for home, representing not just a physical location but also emotional ties and belonging. The specific mention of Ithaca, the fond description of its landscape, and the contrast to his travels emphasize the significance of returning to one's homeland, illustrating the profound attachment the ancient Greeks had to their places of origin.