The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  0  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1 a^2*X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  a a^6*X+a^2 a^3 a^6*X+a^4 a^5 a^6*X+a^6  a a^6*X+a^2 a^6*X+a^4  1  0 a^3 a^6*X+a^6 a^6*X+1 a^5 a^6*X+a^2 a^6*X+a^6 a^3  1 a^6*X+a^4  1 a^5 X+a^3 X+a^5 a^5*X+a^2 X+a^5 a^5*X+a^4  X a^4*X+a^2 X+a^3  a a^6*X+1  0 X+a  1 a^6*X+1 X+a^3 a*X+a a^3*X+a^5 a^3*X+a^4  X a^3*X+a^3 a^5*X+a^6 a^2*X+a^4 a^5*X+a^6 a^5*X+1  1 a^4*X+1 a^3*X+a  X  a a^4*X+a^6  1 a^5*X+a^6 a^3*X+a^2 X+a^6 a^4*X+a^6 a^3*X a^3*X+a a^2*X+1 a*X X+1 X+a a^3*X+a^4 X+a^5 a^2 a^6*X+1  0
 0  0 a^6*X  0  X  X a^3*X  X a^2*X a^3*X a^6*X a^2*X  X a^4*X a^5*X  0 a^4*X  X a*X a^5*X a^5*X a^4*X  X a^5*X  0 a*X a*X a*X a^5*X a^4*X a^2*X a^2*X a^5*X  0 a^6*X a^5*X a*X  0 a^2*X  0 a^6*X a^4*X a*X a^3*X a^4*X a*X a^2*X a^4*X  X  0 a^6*X a^3*X a^3*X a^6*X a^5*X  X a^3*X a^6*X a^2*X a^4*X a^2*X  X a^4*X  0  X a^3*X  X a^5*X a^6*X  0  0
 0  0  0  X a^6*X a^5*X a^3*X a^2*X a^5*X a^6*X a^6*X a^6*X a^5*X a^3*X a^3*X a^2*X a^5*X a*X a^2*X a^2*X a^4*X a*X  X  X a^6*X  X a^6*X a^3*X a^2*X  X a*X a^3*X  X a^4*X  X a^5*X  X  X a^2*X a^5*X a^4*X a^4*X a^3*X a*X a^3*X a^2*X a^3*X  X a^2*X a^5*X a^4*X  0 a^4*X a^2*X  0  0  0 a^3*X  X a^5*X a^2*X a^6*X  0 a^6*X a^5*X a^3*X a*X a^5*X a^5*X  X  0

generates a code of length 71 over F8[X]/(X^2) who´s minimum homogenous weight is 464.

Homogenous weight enumerator: w(x)=1x^0+42x^464+112x^466+903x^472+2016x^474+8820x^480+11032x^482+21588x^488+21336x^490+58541x^496+44632x^498+56483x^504+35560x^506+294x^512+238x^520+217x^528+182x^536+49x^544+56x^552+28x^560+14x^568

The gray image is a linear code over GF(8) with n=568, k=6 and d=464.
This code was found by Heurico 1.16 in 16.9 seconds.