For the manuscript tradition, see:
http://pinakes.irht.cnrs.fr/notices/oeuvre/17893/
In addition, a further witness to the text is the so-called Martyrdom of Martina (BHG 1176), which in reality is simply that of Tatiane, with very little change apart from the martyr's name and date of death (see Halkin 1973, 12). This text is transmitted in a single manuscript:
http://pinakes.irht.cnrs.fr/notices/oeuvre/16947/
For the edition, see Bibliography.
Bibliography
Text:
Halkin, F. (ed.), "Sainte Tatiana: Légende grecque d'une 'martyre romaine'," Analecta Bollandiana 89 (1971), 268-309.
Halkin, F. (ed.), Légendes grecques de "martyres romaines" (Subsidia Hagiographica 55; Brussels, 1973), 12-53.
Further reading:
Constantinou, S. Female Corporeal Performances: Reading the Body in Byzantine Passions and Lives of Holy Women (Uppsala, 2005), 29 and (passim) 30-58.