The generator matrix

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

generates a code of length 29 over Z9 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+246x^54+162x^57+180x^60+112x^63+18x^66+10x^72

The gray image is a code over GF(3) with n=87, k=6 and d=54.
This code was found by Heurico 1.16 in 0.00905 seconds.