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

generates a code of length 38 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+274x^72+126x^73+216x^74+264x^75+396x^76+432x^77+198x^78+126x^79+104x^81+24x^84+18x^87+6x^90+2x^99

The gray image is a code over GF(3) with n=342, k=7 and d=216.
This code was found by Heurico 1.16 in 0.0431 seconds.