Looks like a corallimorpharian, family Discosomatidae (mushroom coral), but I could not find the species.

Thanks Roland Fricke for your help

I think Corallimorpharia

thanks Dr sofyani

see this paper for some photos and background 

http://www.sciencedirect.com/science/article/pii/S002209811000256X

Many thanks Eran Brokovich for your help

Corallimorpharia of Family Corallimorphidae but no idea of species but it obviously a soft coral.

Looks like a hairy mushroom coral (Rhodactis sp?)

thanks all for you help

It is the order Corallimorpharia (Cnidaria) because the end of each tentacle finished in an acrosphere (=globular end) and to family Corallimorphidae.

A species under Cnidaria

Cnidaria for sure. Perhaps a colonial Hexacorallia .

That looks like the corallimoph Amplexidiscus fenestrafer if I'm not mistaken.

The others in the rigth corner are Xenia spp

May be a Cnidarian hydrozoan

Also I think  a Cnidara... you can send your sampleto professor Ramos from Alicanthe university ( spain)

I agree it appears to be a Cnidarian and likely some species of anemone, though I am not familiar with warm water species.

 Discosomatidae (Family) but genus not easy to know

http://www.marinespecies.org/aphia.php?p=taxdetails&id=266940

Corallimorpharia Discosomatidae, perhaps Rhodactis