The generator matrix

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

generates a code of length 31 over Z9 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+1164x^51+4004x^54+8052x^57+12426x^60+14974x^63+12492x^66+4878x^69+966x^72+84x^75+6x^81+2x^90

The gray image is a code over GF(3) with n=93, k=10 and d=51.
This code was found by Heurico 1.16 in 74 seconds.