The generator matrix

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

generates a code of length 39 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+612x^69+648x^70+2088x^71+5090x^72+4734x^73+8568x^74+12864x^75+14526x^76+21672x^77+26784x^78+22572x^79+22374x^80+17686x^81+8172x^82+4932x^83+2790x^84+378x^85+144x^86+414x^87+92x^90+6x^93

The gray image is a code over GF(3) with n=351, k=11 and d=207.
This code was found by Heurico 1.16 in 32.9 seconds.