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

generates a code of length 48 over F9[X]/(X^2) who´s minimum homogenous weight is 372.

Homogenous weight enumerator: w(x)=1x^0+1080x^372+576x^378+1728x^381+3024x^390+128x^405+24x^432

The gray image is a linear code over GF(9) with n=432, k=4 and d=372.
This code was found by Heurico 1.16 in 16.6 seconds.