The generator matrix

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

generates a code of length 59 over F8[X]/(X^2) who´s minimum homogenous weight is 396.

Homogenous weight enumerator: w(x)=1x^0+4480x^396+6104x^397+2016x^398+210x^400+560x^402+5040x^403+24192x^404+22568x^405+6328x^406+1190x^408+1120x^410+6048x^411+38528x^412+29736x^413+9520x^414+2632x^416+1904x^418+10416x^419+47488x^420+34776x^421+7224x^422+42x^424+7x^432+7x^448+7x^464

The gray image is a linear code over GF(8) with n=472, k=6 and d=396.
This code was found by Heurico 1.16 in 11.5 seconds.