The generator matrix

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

generates a code of length 65 over F8[X]/(X^2) who´s minimum homogenous weight is 439.

Homogenous weight enumerator: w(x)=1x^0+6496x^439+7700x^440+5656x^441+168x^442+336x^443+3304x^444+3360x^445+2352x^446+22512x^447+17556x^448+12544x^449+1008x^450+1120x^451+6832x^452+4032x^453+1568x^454+28672x^455+23142x^456+16184x^457+2408x^458+2128x^459+11368x^460+6944x^461+3248x^462+35504x^463+23702x^464+12208x^465+28x^472+42x^480+7x^488+7x^496+7x^504

The gray image is a linear code over GF(8) with n=520, k=6 and d=439.
This code was found by Heurico 1.16 in 28.9 seconds.