The generator matrix

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

generates a code of length 38 over Z9[X]/(X^2+6,3X) 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 43.1 seconds.