The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+350x^78+54x^79+162x^80+1376x^81+594x^82+972x^83+2890x^84+1782x^85+1944x^86+3782x^87+1728x^88+1296x^89+2184x^90+216x^91+258x^93+38x^96+42x^99+6x^105+6x^108+2x^111

The gray image is a code over GF(3) with n=387, k=9 and d=234.
This code was found by Heurico 1.16 in 0.711 seconds.