The generator matrix

 1  0  1  1  1  1  1  3  1  1  1  X 2X+3  1 X+3  1  1  1  1  1  1  1  1  1 2X  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  8 X+3 X+2 2X+4  1 2X 2X+8 X+1  1  1 X+2  1  0 2X+2  2 2X+1 2X  1 X+3 X+8  1  1 X+4 2X+1  8  5 2X+7 X+4 X+4  7 X+2 X+2  8 2X+2 2X+2
 0  0 2X  0  3  3 2X+3 X+3  0  3 2X  X  X 2X+6  3 2X+6 X+3 X+6 X+3 2X+6 X+3 2X+3 X+3 X+6  3  X  X 2X+3 X+6 2X+3  X 2X+3 2X+6  3  0  X 2X+6  X
 0  0  0  6  6  0  3  6  3  3  6  0  3  3  6  6  3  0  6  3  0  0  6  3  3  6  0  3  6  0  3  3  6  6  6  3  0  0

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

Homogenous weight enumerator: w(x)=1x^0+176x^69+342x^70+846x^71+1440x^72+630x^73+1422x^74+4458x^75+978x^76+2430x^77+4414x^78+750x^79+1098x^80+332x^81+108x^82+36x^83+96x^84+84x^85+12x^87+24x^88+4x^96+2x^105

The gray image is a code over GF(3) with n=342, k=9 and d=207.
This code was found by Heurico 1.16 in 0.615 seconds.