What are examples of interesting $ [[n,1,d]] $ or $ [[n,2,d]] $ stabilizer codes, $ d \geq 2 $, whose group of transversal gates is not isomorphic to a subgroup of the Clifford group (on 1 and 2 qubits respectively).
The first example that comes to mind for me is the $ [[15,1,3]] $ code which has an element, the $ T $ gate, whose image in $ PU_2 $ has order 8 and thus cannot be embedded in the Clifford group.