The generator matrix

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

generates a code of length 51 over F9[X]/(X^2) who´s minimum homogenous weight is 395.

Homogenous weight enumerator: w(x)=1x^0+6480x^395+1288x^396+16200x^404+1976x^405+29808x^413+3208x^414+40x^423+8x^432+8x^441+16x^450+16x^459

The gray image is a linear code over GF(9) with n=459, k=5 and d=395.
This code was found by Heurico 1.16 in 0.339 seconds.