As attested in 《CIL》 XI, 5211 (= ILS 991), although a gap between "Domitius" and "Curvius" permit several name elements to be added there.
So Olli Salomies, Adoptive and polyonymous nomenclature in the Roman Empire, (Helsinski: Societas Scientiarum Fenica, 1992), pp. 37f; Curvius Tullus the Elder is attested in 《CIL》 VI, 1772 (=ILS 1230)