Yes, this is a compound tunicate. You may not be able to get an identification to the species level without consulting an expert who specializes in this group, and even then the expert may need a sample to examine under the microscope.
I agree this is a colonial tunicate. Besides to anatomical details, to be able to properly determine the species, collection metadata is needed, that is: location, depth, date, etc.
Thank you for asking, i am interested in new bioactive metabolites especially with interesting cytotoxicity. I would like to follow a bio-guided strategy to isolate active metabolites.
Generally marine organisms constitute a valuable source of Peptides and alkaloids.
However i do not have preference to a specific group.
I think that picture is a sponge and you can see on left hand two oscule,one on top and another down.to right hand can see another oscule to down.Near of this last one you can see hydroids attached and these are Obelia genus.
Just to get an idea of what lives in the Mediterranean, follow this link, of the French website dedicated to underwaterlife DORIS - Données d'Observations pour la Reconnaissance et l'Identification de la faune et la flore Subaquatiques.