The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+202x^54+264x^57+132x^60+86x^63+24x^66+12x^69+8x^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 0.00601 seconds.