I'm trying to construct a $[108;60;16]_3$ code through concatenation, but I can't find a ternary code that'd help me with it. Hamming codes are binary, Golay's codes have distances of 5 and 6 which are not divisors of 16, the only Reed-Solomon code that is useful here is $[3;2;2]_3$, but it needs to use $[36;30;8]_9$ as an outer code which is even harder to construct. What ternary codes could be helpful here?
Thanks in advance.