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  X  X  X  X  X  X  X  X  6  6  1  1  1  1
 0  6  0  0  0  0  6  3  3  0  0  6  6  6  6  6  6  6  0  3  0  3  0  3  0  6  3  6  3  3  0  0  3  6  0  6  6  6  6  0  0  0  6  0  6  0  6  6  6  6  6  3  3  6  6  0  0  6  0
 0  0  6  0  0  6  3  0  3  0  6  6  3  3  0  6  0  6  6  6  6  0  0  3  3  6  6  3  0  3  0  6  6  0  3  3  0  6  0  3  3  3  6  3  3  0  3  3  6  6  0  6  3  0  0  0  0  3  6
 0  0  0  6  0  3  3  6  0  6  6  0  0  6  3  6  6  3  3  0  0  3  3  3  3  3  6  6  0  6  3  6  3  3  6  3  6  0  0  0  0  6  6  3  0  0  3  6  0  3  3  0  3  6  0  0  6  3  3
 0  0  0  0  6  3  3  3  3  3  0  3  0  0  3  3  0  6  0  0  3  3  6  3  6  3  0  3  0  0  3  3  6  0  0  0  3  0  6  6  3  3  6  0  6  6  3  6  6  3  0  6  6  6  6  3  6  0  6

generates a code of length 59 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+22x^111+216x^113+228x^114+736x^117+692x^120+270x^122+2x^135+2x^138+6x^141+8x^144+4x^147

The gray image is a code over GF(3) with n=531, k=7 and d=333.
This code was found by Heurico 1.16 in 0.131 seconds.