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

generates a code of length 59 over F8[X]/(X^2) who´s minimum homogenous weight is 401.

Homogenous weight enumerator: w(x)=1x^0+336x^401+560x^402+2520x^403+6272x^405+329x^408+1120x^409+1120x^410+3024x^411+1792x^413+49x^416+2128x^417+1904x^418+5208x^419+6272x^421+98x^424+14x^432+21x^440

The gray image is a linear code over GF(8) with n=472, k=5 and d=401.
This code was found by Heurico 1.16 in 33.2 seconds.