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

generates a code of length 64 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+156x^121+360x^122+134x^123+306x^124+426x^125+342x^126+660x^127+1986x^128+578x^129+594x^130+408x^131+128x^132+114x^133+42x^134+2x^135+54x^136+84x^137+28x^138+24x^139+78x^140+30x^142+18x^143+6x^145+2x^177

The gray image is a code over GF(3) with n=576, k=8 and d=363.
This code was found by Heurico 1.16 in 51 seconds.