The generator matrix

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

generates a code of length 93 over F8[X]/(X^2) who´s minimum homogenous weight is 622.

Homogenous weight enumerator: w(x)=1x^0+56x^622+56x^623+539x^624+56x^626+2184x^629+4760x^630+1792x^631+721x^632+1680x^634+9800x^637+15008x^638+3584x^639+700x^640+4032x^642+17976x^645+24416x^646+7504x^647+546x^648+11760x^650+33432x^653+44520x^654+9800x^655+406x^656+11144x^658+22624x^661+25928x^662+5936x^663+329x^664+231x^672+210x^680+147x^688+70x^696+77x^704+56x^712+28x^720+14x^728+7x^736+14x^744

The gray image is a linear code over GF(8) with n=744, k=6 and d=622.
This code was found by Heurico 1.16 in 37.9 seconds.