The generator matrix

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

generates a code of length 65 over F8[X]/(X^2) who´s minimum homogenous weight is 408.

Homogenous weight enumerator: w(x)=1x^0+266x^408+1456x^416+2240x^424+56x^427+3073x^432+1568x^435+3458x^440+16464x^443+3696x^448+76832x^451+4410x^456+134456x^459+4480x^464+3892x^472+3059x^480+1785x^488+721x^496+182x^504+42x^512+7x^520

The gray image is a linear code over GF(8) with n=520, k=6 and d=408.
This code was found by Heurico 1.16 in 42 seconds.