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

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+168x^106+270x^107+204x^108+420x^109+624x^110+540x^111+804x^112+1194x^113+2298x^114+1836x^115+1806x^116+3928x^117+1776x^118+1278x^119+912x^120+396x^121+252x^122+62x^123+258x^124+222x^125+32x^126+126x^127+132x^128+22x^129+42x^130+48x^131+8x^132+6x^133+6x^134+2x^135+2x^138+6x^141+2x^150

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 54.6 seconds.