The pressure dependence of the superconducting transition temperature
T(c) of Tl2Ba2Ca2Cu3O10+x (Tl-2223) has been measured under pressures
up to 13 GPa (130 kbar). At 4.2 GPa a maximum is observed with a T(c)
of 133 K. This is the highest T(c) yet observed for any high-T(c) supe
rconductor with the exception of the recently discovered mercury-based
compound Hg-Ba2Ca2Cu3O8+x (Hg-1223). Because of some structural diffe
rences between Tl-2223 and Hg-1223, a slightly higher maximum T(c) is
predicted for Hg-1223. Both T(c) and its pressure dependence are discu
ssed on the basis of a simple charge-transfer model.