The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1
 0  X 2X  0 X+6 2X 2X+3  3 X+6 X+6  0 2X X+6  0 2X 2X+3  6 X+3 X+6  0  3 X+3  0 X+6 2X 2X+3 2X+3 2X+6  3 X+3 2X X+6 2X  6  3 X+3 X+3 X+3  X 2X+3 2X+6  3  0 X+3  X  3 2X+6  6  6 2X+3 2X+3  6 2X+6 X+3 X+6  3 X+3 2X
 0  0  3  0  0  0  6  0  6  3  0  3  3  3  0  3  3  0  6  6  3  0  6  3  3  0  6  6  6  3  0  6  6  6  3  0  6  0  0  3  3  0  0  3  6  0  6  0  3  6  0  3  0  3  6  3  6  0
 0  0  0  3  0  3  6  6  6  3  0  6  0  6  6  6  0  6  0  0  6  3  6  0  3  0  0  3  3  6  0  6  6  0  3  6  3  3  0  3  0  3  3  6  0  6  0  6  3  3  3  0  6  0  3  3  6  3
 0  0  0  0  6  6  3  0  6  3  6  6  0  0  6  0  3  0  6  6  3  0  6  3  0  6  3  3  6  3  3  3  0  3  3  6  6  6  3  3  6  3  6  6  3  6  6  3  0  0  0  6  3  6  6  6  0  3

generates a code of length 58 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+194x^108+438x^111+950x^114+2916x^116+1544x^117+186x^120+92x^123+136x^126+96x^129+2x^132+4x^135+2x^171

The gray image is a code over GF(3) with n=522, k=8 and d=324.
This code was found by Heurico 1.16 in 0.301 seconds.