The generator matrix

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

generates a code of length 43 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+236x^78+600x^79+1632x^80+2076x^81+4092x^82+4626x^83+4670x^84+6978x^85+7080x^86+6938x^87+8004x^88+5340x^89+2910x^90+2058x^91+1206x^92+394x^93+96x^94+30x^95+14x^96+36x^97+12x^98+12x^99+6x^100+2x^117

The gray image is a code over GF(3) with n=387, k=10 and d=234.
This code was found by Heurico 1.16 in 4.71 seconds.