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

generates a code of length 69 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+104x^129+66x^130+288x^132+126x^133+216x^134+192x^135+72x^136+864x^137+3104x^138+72x^139+864x^140+118x^141+60x^142+158x^144+24x^145+46x^147+24x^148+80x^150+30x^151+36x^153+12x^154+2x^156+2x^201

The gray image is a code over GF(3) with n=621, k=8 and d=387.
This code was found by Heurico 1.16 in 0.423 seconds.