The generator matrix

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

generates a code of length 61 over F8[X]/(X^2) who´s minimum homogenous weight is 410.

Homogenous weight enumerator: w(x)=1x^0+3304x^410+7560x^411+1904x^412+336x^415+35x^416+23016x^418+36680x^419+4536x^420+1120x^423+266x^424+31864x^426+43736x^427+5376x^428+2128x^431+196x^432+42168x^434+51800x^435+6104x^436+7x^456+7x^488

The gray image is a linear code over GF(8) with n=488, k=6 and d=410.
This code was found by Heurico 1.16 in 11.8 seconds.