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

generates a code of length 38 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+78x^69+156x^70+120x^71+372x^72+264x^73+624x^74+816x^75+1692x^76+1080x^77+724x^78+156x^79+42x^80+86x^81+78x^82+60x^83+66x^84+72x^85+18x^86+42x^87+12x^88+2x^105

The gray image is a code over GF(3) with n=342, k=8 and d=207.
This code was found by Heurico 1.16 in 0.136 seconds.