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

generates a code of length 61 over F8[X]/(X^2) who´s minimum homogenous weight is 416.

Homogenous weight enumerator: w(x)=1x^0+630x^416+3304x^417+6272x^419+1393x^424+4144x^425+1792x^427+1967x^432+6888x^433+6272x^435+77x^440+14x^448+14x^456

The gray image is a linear code over GF(8) with n=488, k=5 and d=416.
This code was found by Heurico 1.16 in 0.238 seconds.