The generator matrix

 1  0  1  1  1  1  1  X  1  1 2X  1  3  1  1  1  1  3  1  1  1 X+3  1  1  1  1  1  0  1  1  1 X+6  1  1  6  1  1  1  1  6  1  1  X  1 X+3 X+6 2X  1  1  1  6  X  1  X  3  1  1  1
 0  1  1  8  3 2X+1  8  1 2X+4  8  1 X+3  1  X X+7 X+8  7  1  2  X  5  1  X 2X+4 X+2 X+1 2X+6  1  0  1 2X+2  1  8  6  1 2X+4 X+8  4 2X+1  1 X+8 2X  1 X+6  1  1  1 X+3  X  1  X  1 2X+5 2X+6  1 2X+5  8  8
 0  0 2X  0  3  0  0  6  3  3  0  6 X+6 X+6 X+3 2X+3 2X+6 X+3 X+6 X+3 X+6 2X 2X+3 2X 2X+6  6 2X 2X X+6  X 2X+3 2X X+3 2X+3  X 2X+3 X+3  X  6 2X+3  X  6  6  X X+3 X+6  6 X+6 2X  6 2X+3  0 2X+6  0 2X+3 X+6 X+6  3
 0  0  0  X X+3 X+6  6  X 2X+3 2X+6 2X+6 2X 2X+6  6 X+3 X+6 X+6  6 2X+3 2X  0 X+3 X+3 2X  6  3 2X+3 2X  X 2X+3 2X+3  6  X  0 X+3  6 2X+6  3  6  6  6 2X+6 2X 2X+6 2X+6  6 X+6 X+3  6 2X+6  X  0 2X+3  X X+6 2X+3  X  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+162x^106+342x^107+738x^108+1260x^109+1998x^110+2532x^111+2880x^112+4848x^113+4886x^114+5532x^115+6588x^116+6402x^117+6066x^118+5904x^119+3784x^120+1962x^121+1314x^122+638x^123+450x^124+264x^125+134x^126+90x^127+90x^128+68x^129+54x^130+30x^131+14x^132+12x^133+6x^134

The gray image is a code over GF(3) with n=522, k=10 and d=318.
This code was found by Heurico 1.16 in 8.18 seconds.