Of Epiphaneia. [He wrote the] Summary chronicle of events from Aeneas to the emperor Anastasios, in 9 volumes, and some other works. Eustathius of Sebaste initiated the Macedonian heresy along with Basil of Ancyra, the bishop of the same city.
The only 'Eustathius' entry in the Suda (and not, of course, related to the most famous bearer of the name, E. of Thessalonica the Homeric commentator, who post-dates it).  C5-6 AD. For Epiphaneia, in Cilicia, see Barrington Atlas map 67 grid C3. The fragments of Eustathius are in L. Dindorf (ed.), Historici Graeci Minores (Leipzig 1870) vol.I pp.354-363.  cf. beta 151: Basil of Ancyra.