The generator matrix

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

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+828x^72+630x^73+378x^74+1260x^75+720x^76+540x^77+1152x^78+558x^79+54x^80+340x^81+36x^82+36x^84+18x^87+8x^90+2x^99

The gray image is a code over GF(3) with n=342, k=8 and d=216.
This code was found by Heurico 1.16 in 31.4 seconds.