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

generates a code of length 43 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+282x^77+256x^78+840x^80+582x^81+324x^82+1428x^83+2790x^84+1296x^85+2094x^86+4802x^87+1296x^88+1752x^89+696x^90+558x^92+230x^93+270x^95+68x^96+54x^98+42x^99+12x^101+2x^102+4x^105+2x^108+2x^111

The gray image is a code over GF(3) with n=387, k=9 and d=231.
This code was found by Heurico 1.16 in 82.4 seconds.