The generator matrix

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

generates a code of length 34 over Z9 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+834x^54+4228x^57+11210x^60+23560x^63+37548x^66+45180x^69+34136x^72+15830x^75+3974x^78+622x^81+10x^84+6x^87+4x^90+2x^93+2x^96

The gray image is a code over GF(3) with n=102, k=11 and d=54.
This code was found by Heurico 1.13 in 92.2 seconds.