The generator matrix

 1  0  0  1  1  1  1  3  1  1  6  1  1  0  1  1  0  6  1  1  1  6  1  1  1  1  3  3  1  1  1  0  1  0  3  1  0  1  1  1  6  1  3  1  1  1  3  6  3  1  1  6  1  1  3  1
 0  1  0  0  0  7  1  1  5  7  1  8  8  3  2  2  1  1  0  8  3  1  1  3  1  7  1  3  6  2  1  1  7  1  1  5  1  0  8  6  1  6  1  2  6  5  1  1  1  4  7  3  0  1  1  3
 0  0  1  1  8  5  1  5  7  6  4  0  2  1  4  8  3  7  8  3  3  8  0  4  7  5  4  1  0  4  8  4  2  3  4  3  2  1  2  8  6  0  8  7  8  2  7  6  2  0  0  1  7  0  4  2
 0  0  0  6  0  0  0  0  0  0  0  6  3  0  0  6  3  6  6  6  3  3  6  6  3  3  3  6  0  3  3  6  6  0  0  3  6  3  0  3  3  0  6  6  0  3  3  6  0  3  6  3  3  0  3  3
 0  0  0  0  3  3  3  0  3  0  3  6  0  6  0  0  3  3  3  0  0  6  3  6  6  3  3  0  6  3  0  6  0  3  6  3  0  3  6  3  0  3  6  3  0  6  0  3  6  0  6  0  0  6  6  3

generates a code of length 56 over Z9 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+110x^102+330x^103+320x^105+834x^106+444x^108+852x^109+352x^111+738x^112+310x^114+600x^115+302x^117+444x^118+204x^120+318x^121+104x^123+222x^124+28x^126+36x^127+2x^132+8x^135+2x^141

The gray image is a code over GF(3) with n=168, k=8 and d=102.
This code was found by Heurico 1.16 in 0.618 seconds.