Why did Puritans build a city on a hill?

The Puritans believed in creating a model society based on their vision of a pure and religiously devout community, which they described as a "city upon a hill" in reference to a passage in The Bible. They wanted to serve as an example to others and inspire them to follow their moral and religious ideals. This concept laid the foundation for the idea of American exceptionalism and the aspiration for the United States to be a shining beacon of democracy and virtue.