Unfortunately no one has been able to keep these alive long term. I've seen random anecdotal short term success with people keeping them in the sump, but that's no fun ;)
Corals from Distichopora and Stylaster genera are just gorgeous, so it's a shame their 'secrets' haven't been cracked yet. They're technically hydroids. Suffice to say that specific food particle sizes and flow rates are likely necessary to keep them thriving, much like Dendronephthya and Scleronephthya.
There are some interesting threads on them on Reef Central in the non-photo forum.