The generator matrix

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

generates a code of length 39 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+66x^66+108x^68+200x^69+366x^71+296x^72+1728x^74+340x^75+1458x^76+4896x^77+370x^78+2916x^79+5118x^80+414x^81+702x^83+296x^84+180x^86+94x^87+24x^89+52x^90+32x^93+20x^96+2x^99+4x^102

The gray image is a code over GF(3) with n=351, k=9 and d=198.
This code was found by Heurico 1.16 in 1.23 seconds.