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

generates a code of length 48 over F9[X]/(X^2) who´s minimum homogenous weight is 351.

Homogenous weight enumerator: w(x)=1x^0+216x^351+1024x^360+1040x^369+1016x^378+52488x^384+1032x^387+760x^396+648x^405+536x^414+216x^423+72x^432

The gray image is a linear code over GF(9) with n=432, k=5 and d=351.
This code was found by Heurico 1.16 in 0.953 seconds.