The generator matrix

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

generates a code of length 62 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 119.

Homogenous weight enumerator: w(x)=1x^0+456x^119+522x^120+828x^121+660x^122+802x^123+576x^124+558x^125+520x^126+582x^127+402x^128+310x^129+114x^130+174x^131+12x^132+6x^133+6x^134+4x^135+12x^137+8x^138+6x^144+2x^150

The gray image is a code over GF(3) with n=558, k=8 and d=357.
This code was found by Heurico 1.16 in 0.185 seconds.