A hydrocarbon feedstock containing C5 olefins, C5 diolefins, CPD, DCPD, and aromatics is processed by the steps of heating a hydrocarbon feedstock containing CPD, DCPD, C5 diolefins, benzene, toluene, and xylene in a heating zone, to dimerize CPD to DCPD, thereby forming a first effluent; separating the first effluent into a C6null stream and a C5 diolefin stream; separating the C6null stream into a C6-C9 stream and a C10null stream; separating the C10null stream into a fuel oil stream and a DCPD stream; and hydrotreating the C6-C9 stream to thereby form a BTX stream. In an alternate embodiment, the hydrocarbon feedstock is processed by the steps of heating the hydrocarbon feedstock in a heating zone, to dimerize CPD to DCPD, thereby forming a first effluent; separating the first effluent into a C5-C9 stream and a C10null stream; separating the C10null stream into a fuel oil stream and a DCPD stream; contacting the C5-C9 stream with a selective hydrogenation catalyst, in a first reaction zone and in the presence of hydrogen, to hydrogenate at least a portion of the diolefins, alkynes, and styrene contained in the C5-C9 stream, thereby forming a second effluent; separating the second effluent into a C6-C9 stream and a C5 olefin stream; and contacting the C6-C9 stream with a hydrodesulfurization catalyst, in a second reaction zone and in the presence of hydrogen, to desulfurize at least a portion of the sulfur-containing compounds contained in the C6-C9 stream thereby forming a BTX stream.