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

generates a code of length 65 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+258x^122+40x^123+294x^125+108x^126+732x^128+272x^129+2916x^130+1164x^131+242x^132+156x^134+22x^135+132x^137+30x^138+66x^140+6x^141+72x^143+2x^144+36x^146+4x^147+6x^149+2x^189

The gray image is a code over GF(3) with n=585, k=8 and d=366.
This code was found by Heurico 1.16 in 25.4 seconds.