Ask HN: How do you achieve good company culture for remote teams?

If all employees in a company are working remote, how do you get a nice culture where employes:

-feel sense of proud (and maybe loyalty) -feel it's a fun work environmet -feel connected on a personal level to each other -feel connected with the vision and objectives of the company -take responsibility for their work and work hours

Do you have any experience from companies that managed well with this?