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

generates a code of length 43 over F9[X]/(X^2) who´s minimum homogenous weight is 315.

Homogenous weight enumerator: w(x)=1x^0+392x^315+1160x^324+1216x^333+1032x^342+52488x^344+864x^351+816x^360+712x^369+264x^378+104x^387

The gray image is a linear code over GF(9) with n=387, k=5 and d=315.
This code was found by Heurico 1.16 in 0.824 seconds.