The generator matrix

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

generates a code of length 39 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+186x^72+486x^73+2100x^74+1384x^75+2394x^76+2688x^77+1782x^78+2394x^79+2406x^80+1110x^81+1206x^82+1194x^83+294x^84+30x^86+6x^87+6x^89+14x^90+2x^93

The gray image is a code over GF(3) with n=351, k=9 and d=216.
This code was found by Heurico 1.16 in 0.479 seconds.