The generator matrix

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

generates a code of length 53 over F9[X]/(X^2) who´s minimum homogenous weight is 392.

Homogenous weight enumerator: w(x)=1x^0+72x^392+72x^394+72x^395+720x^396+288x^401+2808x^402+4032x^403+2160x^404+1184x^405+6480x^410+17496x^411+16632x^412+6696x^413+1136x^414+32544x^419+73224x^420+59328x^421+20664x^422+888x^423+65592x^428+116424x^429+77400x^430+22896x^431+752x^432+688x^441+680x^450+304x^459+192x^468+16x^477

The gray image is a linear code over GF(9) with n=477, k=6 and d=392.
This code was found by Heurico 1.16 in 50.4 seconds.