The generator matrix

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

generates a code of length 43 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+114x^79+252x^80+36x^81+306x^82+498x^83+716x^84+420x^85+1554x^86+1382x^87+378x^88+378x^89+40x^90+108x^91+114x^92+4x^93+102x^94+84x^95+4x^96+30x^97+36x^98+2x^99+2x^117

The gray image is a code over GF(3) with n=387, k=8 and d=237.
This code was found by Heurico 1.16 in 0.175 seconds.