The generator matrix

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

generates a code of length 38 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+534x^67+876x^68+1708x^69+4398x^70+5004x^71+7980x^72+14688x^73+15174x^74+19374x^75+27864x^76+23346x^77+21036x^78+19104x^79+8256x^80+3876x^81+2772x^82+684x^83+168x^84+114x^85+114x^86+38x^87+24x^88+6x^89+8x^90

The gray image is a code over GF(3) with n=342, k=11 and d=201.
This code was found by Heurico 1.16 in 33.7 seconds.