The generator matrix

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

generates a code of length 43 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+630x^81+306x^82+1334x^84+756x^85+1670x^87+810x^88+918x^90+72x^91+52x^93+4x^96+6x^99+2x^126

The gray image is a code over GF(3) with n=387, k=8 and d=243.
This code was found by Heurico 1.16 in 5.95 seconds.