A new family of coherently grown composites of TUN and IMF zeotypes has been synthesized and shown to be effective catalysts for aromatic transalkylation reactions. These zeolites are represented by the empirical formula. NanMmk+TtAl1-xExSiyOz where M represents a metal or metals from zinc or Group 1 (IUPAC 1), Group 2 (IUPAC 2), Group 3 (IUPAC 3) or the lanthanide series of the periodic table, T is the organic directing agent derived from reactants R and Q where R is an A,Ω-dihalosubstituted alkane such as 1,4-dibromobutane and Q is at least one neutral amine having 6 or fewer carbon atoms such as 1-methylpyrrolidine. E is a framework element such as gallium. The process involves transalkylation of a feedstream comprising one or more of C7, C9, C10 and C11+ aromatics to obtain a transalkylation product stream having an increased concentration of C8 aromatics relative to that of the feedstream.