Abstract. A complete census of orientable bimbeddings of Steiner triple systems of order 15 is given. There are 80 Steiner triple systems of order 15 and they generate a total of 9530 (mutually nonisomorphic) orientable biembeddings. Of (80x81)/2=3240 unordered pairs of these 80 STSs, 1150 admit no biembedding while each of the remaining 2090 admits at least one biembedding. Out of the 9530 biembeddings, 1587 represent a biembedding of a system with a copy of itself.