The generator matrix

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

generates a code of length 45 over F9[X]/(X^2) who´s minimum homogenous weight is 324.

Homogenous weight enumerator: w(x)=1x^0+88x^324+216x^329+688x^333+72x^336+576x^337+3744x^338+2808x^339+1152x^342+648x^344+1728x^345+6048x^346+18576x^347+11016x^348+1000x^351+10368x^353+13824x^354+32832x^355+67392x^356+39528x^357+1000x^360+41472x^362+36864x^363+65520x^364+120024x^365+51624x^366+864x^369+808x^378+616x^387+288x^396+56x^405

The gray image is a linear code over GF(9) with n=405, k=6 and d=324.
This code was found by Heurico 1.16 in 24.5 seconds.