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

generates a code of length 73 over F8[X]/(X^2) who´s minimum homogenous weight is 495.

Homogenous weight enumerator: w(x)=1x^0+5208x^495+10738x^496+7728x^497+3864x^498+17304x^503+29225x^504+14280x^505+7672x^506+25032x^511+30842x^512+15456x^513+7560x^514+27720x^519+37219x^520+16296x^521+5992x^522+7x^560

The gray image is a linear code over GF(8) with n=584, k=6 and d=495.
This code was found by Heurico 1.16 in 79.3 seconds.