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

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+144x^106+294x^107+92x^108+528x^109+648x^110+358x^111+1008x^112+1272x^113+1452x^114+2376x^115+2934x^116+2620x^117+2340x^118+1440x^119+464x^120+402x^121+318x^122+70x^123+270x^124+228x^125+30x^126+168x^127+90x^128+6x^129+30x^130+66x^131+8x^132+18x^133+6x^136+2x^153

The gray image is a code over GF(3) with n=522, k=9 and d=318.
This code was found by Heurico 1.16 in 1.98 seconds.