The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  X  1 a^7*X  1  1  1  1  1  1  1  1 a^6*X  1  1  1  1  1  1 a*X  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  0 a^7*X+1  a a^2  X a^7*X+a^2  1 a^7 X+a a^7*X+2  1 a^6*X+1  1 a*X X+a^7 a^2*X+a a^6*X+a^2 a^7*X a^3*X+1 a^7*X+a^3 2*X+a^2  1 a^7*X+a^5 a*X+a^7 a^3*X+a 2*X+1 2*X+a^7 a^5*X+a^5  1 a^2*X+a^6 2*X+a^5 a^5 a^7*X+a^7 a^2*X a^2*X+a^3 2*X+a^3 a^3*X+1 2*X+a^6 a^3*X+a^5 a^3*X+a^2 a*X+2
 0  0  1 a^7*X+a^7  a a^6 a^6*X+a^7 a^7*X+a X+1  X a^6*X+a^5 a^6*X+a a^6*X+a^7 a^5 a^7*X+2 a^2*X+a^5 a^5*X+a^7 2*X+a^3 a^2*X+a^7 a^7*X+1 a^7*X X+a^2 a^3*X+a^3 a^6 a^6*X+1 a^2*X a*X+a a^7*X+2 a^5*X+1 X+a^3 a^6*X+a^3 a^6*X a^3*X+a^7 a^5*X+a X+2 2*X+a^5 X+a^5 a*X+1 a*X a*X+a^6 a^2*X+2 a^2 X+1

generates a code of length 43 over F9[X]/(X^2) who´s minimum homogenous weight is 324.

Homogenous weight enumerator: w(x)=1x^0+3328x^324+1152x^328+3744x^329+5112x^330+11088x^331+15624x^332+21216x^333+1296x^336+8064x^337+27504x^338+20880x^339+29664x^340+27072x^341+39152x^342+10368x^345+37440x^346+73728x^347+43992x^348+52560x^349+44784x^350+53448x^351+144x^360+64x^369+16x^378

The gray image is a linear code over GF(9) with n=387, k=6 and d=324.
This code was found by Heurico 1.16 in 19.9 seconds.