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

generates a code of length 58 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 109.

Homogenous weight enumerator: w(x)=1x^0+138x^109+342x^110+64x^111+366x^112+522x^113+400x^114+570x^115+1782x^116+690x^117+666x^118+540x^119+24x^120+78x^121+78x^122+12x^123+60x^124+54x^125+2x^126+42x^127+72x^128+20x^129+24x^130+12x^131+2x^159

The gray image is a code over GF(3) with n=522, k=8 and d=327.
This code was found by Heurico 1.16 in 0.611 seconds.