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

generates a code of length 66 over F8[X]/(X^2) who´s minimum homogenous weight is 445.

Homogenous weight enumerator: w(x)=1x^0+672x^445+10080x^446+5712x^447+1022x^448+5040x^453+41832x^454+18816x^455+3430x^456+6720x^461+50960x^462+17808x^463+4130x^464+9072x^469+61992x^470+22176x^471+2674x^472+7x^512

The gray image is a linear code over GF(8) with n=528, k=6 and d=445.
This code was found by Heurico 1.16 in 13 seconds.