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

generates a code of length 69 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+396x^128+230x^129+636x^131+354x^132+1770x^134+740x^135+972x^136+3810x^137+2574x^138+1944x^139+3582x^140+720x^141+618x^143+210x^144+396x^146+144x^147+246x^149+76x^150+132x^152+46x^153+78x^155+2x^156+2x^159+2x^165+2x^189

The gray image is a code over GF(3) with n=621, k=9 and d=384.
This code was found by Heurico 1.16 in 23.1 seconds.