The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X a*X  1  1  1  1  1  1 a^2*X  1  1  1  1  1 a*X  1
 0  1  1  a a^7*X+a^2 a^3 a^7*X+2 a^7*X+a^6 a^5 a^7  0 a^7 a^5 a^7*X+a^6 a^3  1  a a^7*X+a^2 a^7*X+1 a^7*X+2 a^7 a^7*X+a^6 a^7*X+a^2 a^3  1  a a^7*X+1 a^6*X+a^6 a^7*X+1 X+a^3 a^6*X+a^2  0 a^5 a^6*X+a^6 X+a^7 X+a^5 X+a a^7*X+2  X a*X+a a^6*X+2 a^6*X+a^6  1  1 2*X+a a^5*X+a^2 X+a^5  a a^5*X+a^2 a*X+a^5  1 a^7*X+a^6 a^6*X+a^6 a*X 2*X+a^6 2*X  1  0
 0  0 a^7*X  0 a^7*X  X a^6*X a^6*X 2*X a*X a^7*X a*X  X a*X  X  X a^6*X 2*X a^7*X a^2*X a^6*X 2*X  0 a*X 2*X 2*X  X a*X a^5*X a^3*X a^5*X a^3*X a^6*X a^2*X 2*X a^7*X a^2*X  0 a^7*X  X  0 a^6*X a^5*X  0  X a^2*X a^5*X a^3*X a^5*X a*X a^7*X  0 a^3*X a*X a^2*X  0 a*X  X
 0  0  0  X a^7*X a^7*X  X a*X  X a^2*X a^5*X a^6*X a^5*X a^3*X  0 a^6*X a^2*X a^7*X a*X a^2*X a^5*X a*X a^6*X 2*X  0 a^2*X a*X  0 a^6*X a^7*X  X a^5*X a^6*X a*X a^5*X  X a^6*X a^7*X a^3*X  0 2*X 2*X a*X a*X a^5*X a^2*X a^2*X a*X a^5*X a^7*X 2*X a^3*X a^6*X a*X a^6*X a^2*X 2*X a^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+296x^432+432x^435+360x^437+2304x^441+2664x^443+5976x^444+4176x^446+13296x^450+11448x^452+20304x^453+8640x^455+66600x^459+39096x^461+62208x^462+21240x^464+131896x^468+51768x^470+68544x^471+18072x^473+576x^477+624x^486+528x^495+264x^504+120x^513+8x^522

The gray image is a linear code over GF(9) with n=522, k=6 and d=432.
This code was found by Heurico 1.16 in 32.9 seconds.