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

generates a code of length 38 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+96x^73+180x^74+8x^75+84x^76+216x^77+10x^78+84x^79+36x^80+2x^81+6x^82+4x^84+2x^87

The gray image is a code over GF(3) with n=342, k=6 and d=219.
This code was found by Heurico 1.16 in 0.0228 seconds.