The generator matrix

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

generates a code of length 71 over F8[X]/(X^2) who´s minimum homogenous weight is 481.

Homogenous weight enumerator: w(x)=1x^0+7112x^481+10472x^482+7616x^483+336x^485+105x^488+22568x^489+27888x^490+13944x^491+1120x^493+203x^496+33880x^497+29736x^498+16464x^499+2128x^501+196x^504+36792x^505+35840x^506+15736x^507+7x^536

The gray image is a linear code over GF(8) with n=568, k=6 and d=481.
This code was found by Heurico 1.16 in 32.9 seconds.