The generator matrix

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

generates a code of length 58 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+684x^105+1614x^106+4308x^107+6740x^108+10596x^109+14766x^110+22924x^111+29406x^112+33066x^113+48330x^114+52362x^115+55566x^116+62504x^117+55890x^118+45198x^119+37028x^120+24186x^121+12714x^122+8154x^123+3144x^124+1428x^125+472x^126+108x^127+84x^128+18x^129+66x^130+48x^131+12x^132+12x^133+6x^134+6x^136

The gray image is a code over GF(3) with n=522, k=12 and d=315.
This code was found by Heurico 1.16 in 388 seconds.