Crow et al., 2008, p. 237 describes this bath as: "Magdalino (1984), 233 has identified this bath with that of Leo built in the House of Marina, and which Constantine VII later restored. He has also (1988, 99-100) identified it with the 'great bath of the Oikonomion near the Tzukanisterion' mentioned in the Patria. Mango (1991) has argued that his bath was not a new foundation under Leo, but that Leo restored an early fifth-century private bath built to serve the House of Marina. On the location of the bath and the House of Marina, see Bardill (2006), 39-40."
Leo Choirosphakes is the author of an anacreontic ekphrasis of the Bath of Leo VI. A full text and translation can be found in Magdalino (1988), 116-118 (correcting Magdalino 1984). The poem was likely comissioned by Constantine VII Porphyrogenitos (r. 913-959).