According to Dr. Peter Jaeger, a German spider expert whom I consulted about this species, there are many Heteropoda species in South-East Asia (220 and still counting).
It is possible that this is Heteropoda schwendingeri or the common Heteropoda tetrica or even another Heteropoda species. Both aforementioned species have an impressive legspan of up to 23 cm in males and 17 cm in females, about the size of the one on my photos.
I found this big spider in a dark cave.
Cheow Lan Lake, Khao Sok National Park, Thailand, 24 January 2013