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

generates a code of length 58 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+78x^104+114x^105+138x^106+240x^107+166x^108+306x^109+408x^110+512x^111+1470x^112+438x^113+1418x^114+4458x^115+528x^116+1794x^117+4536x^118+498x^119+918x^120+462x^121+456x^122+44x^123+264x^124+204x^125+36x^126+18x^127+66x^128+12x^129+12x^130+30x^132+22x^135+16x^138+10x^141+6x^144+4x^150

The gray image is a code over GF(3) with n=522, k=9 and d=312.
This code was found by Heurico 1.16 in 99.5 seconds.