The generator matrix

 1  0  0  1  1  1  1  1  1  1 2X+3  1  X  1  1 2X+6  1  1 X+6  1  1  1 2X+3  1  1  0  1  1  1  1  1  0  1  6 2X+3  1  1 2X+3  1  3 2X+3  1  1  1  1  1 X+3  1  1  1  1  1  1  0  1  1  1 X+3
 0  1  0  0  6 2X+4 2X+4 X+8  1 X+2  1  2  1  6  2  1 X+2  1  1 2X+6  7 2X+1 2X+6 X+2  X  1 X+6 2X+8 X+7  0 2X+1 2X+3 X+7  1  1  5 X+4  1  2 2X+6  1  X X+5 2X+8  7  5  1  1 X+7 X+6 X+1 X+3 X+8  1 2X+3  1 2X+7  X
 0  0  1  1  2  2 2X+3  1  7 2X+3 2X+7 X+2 X+8  0  4 2X+3 2X+6  2 X+2  8 2X+4  6  1  8 X+1 X+4 X+7 X+5 X+6 X+2 X+4  1 X+5  5 2X+7 2X+6  2 2X 2X+1  1  0 2X 2X+7 2X+2  4 X+6 2X+5 2X+4 X+3 2X+8 X+5 X+2 X+1  0  3 2X+8 X+5  1
 0  0  0 2X  3  6  0  6  0  3  0  3  6  X 2X+3 2X 2X+6 2X+6 X+6 X+3 2X+3 2X X+6 2X+3  X 2X+6  3 X+6 X+3 2X+3 X+3  3  X 2X X+3  X 2X  X X+6 2X+6 2X 2X+3 X+6  3 X+6  6  3  6 2X 2X+3  6 X+6 X+6  X  3  X  3 X+6

generates a code of length 58 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+552x^106+1140x^107+1874x^108+4020x^109+5958x^110+6360x^111+9798x^112+14004x^113+13700x^114+16356x^115+21522x^116+19202x^117+18096x^118+17484x^119+9926x^120+7980x^121+4878x^122+2068x^123+1278x^124+462x^125+64x^126+168x^127+102x^128+22x^129+60x^130+54x^131+12x^133+6x^134

The gray image is a code over GF(3) with n=522, k=11 and d=318.
This code was found by Heurico 1.16 in 54.5 seconds.