The generator matrix

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

generates a code of length 65 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+890x^123+450x^124+666x^125+2226x^126+990x^127+1206x^128+2934x^129+1458x^130+1512x^131+2884x^132+1062x^133+900x^134+1516x^135+414x^136+90x^137+306x^138+70x^141+80x^144+18x^147+8x^150+2x^153

The gray image is a code over GF(3) with n=585, k=9 and d=369.
This code was found by Heurico 1.16 in 4.02 seconds.