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

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+170x^78+390x^81+928x^84+2916x^86+1634x^87+216x^90+180x^93+82x^96+30x^99+8x^102+4x^105+2x^126

The gray image is a code over GF(3) with n=387, k=8 and d=234.
This code was found by Heurico 1.16 in 0.185 seconds.