The generator matrix

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

generates a code of length 92 over F8[X]/(X^2) who´s minimum homogenous weight is 632.

Homogenous weight enumerator: w(x)=1x^0+63x^632+3808x^633+7840x^636+245x^640+4928x^641+2240x^644+105x^648+2016x^649+7840x^652+35x^656+3584x^657+28x^664+35x^672

The gray image is a linear code over GF(8) with n=736, k=5 and d=632.
This code was found by Heurico 1.16 in 0.459 seconds.