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

generates a code of length 58 over F9[X]/(X^2) who´s minimum homogenous weight is 432.

Homogenous weight enumerator: w(x)=1x^0+328x^432+1096x^441+648x^448+1184x^450+10368x^457+896x^459+41472x^466+960x^468+688x^477+536x^486+408x^495+336x^504+96x^513+32x^522

The gray image is a linear code over GF(9) with n=522, k=5 and d=432.
This code was found by Heurico 1.16 in 1.2 seconds.