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

generates a code of length 68 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 127.

Homogenous weight enumerator: w(x)=1x^0+138x^127+66x^129+318x^130+310x^132+276x^133+972x^134+830x^135+162x^136+1944x^137+856x^138+210x^139+84x^141+150x^142+20x^144+72x^145+12x^147+66x^148+60x^151+2x^153+6x^154+2x^159+2x^165+2x^189

The gray image is a code over GF(3) with n=612, k=8 and d=381.
This code was found by Heurico 1.16 in 0.835 seconds.