The generator matrix

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

generates a code of length 47 over F9[X]/(X^2) who´s minimum homogenous weight is 360.

Homogenous weight enumerator: w(x)=1x^0+72x^360+432x^361+1296x^362+1440x^363+2160x^364+1440x^365+328x^369+3024x^370+5184x^371+3600x^372+3456x^373+1656x^374+176x^378+8208x^379+11016x^380+6624x^381+6048x^382+2736x^383+64x^387+48x^396+8x^414+32x^423

The gray image is a linear code over GF(9) with n=423, k=5 and d=360.
This code was found by Heurico 1.16 in 0.33 seconds.