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

generates a code of length 57 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+64x^105+6x^106+90x^107+298x^108+48x^109+276x^110+216x^111+1116x^112+744x^113+212x^114+2136x^115+720x^116+140x^117+96x^118+90x^120+84x^122+98x^123+18x^125+74x^126+12x^128+18x^129+2x^132+2x^159

The gray image is a code over GF(3) with n=513, k=8 and d=315.
This code was found by Heurico 1.16 in 0.295 seconds.