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

generates a code of length 98 over F8[X]/(X^2) who´s minimum homogenous weight is 667.

Homogenous weight enumerator: w(x)=1x^0+4424x^667+7224x^668+112x^669+784x^670+1680x^671+3185x^672+3696x^673+1624x^674+18592x^675+19208x^676+784x^677+2128x^678+5600x^679+8512x^680+6384x^681+2072x^682+21784x^683+23296x^684+1232x^685+4144x^686+3920x^687+5614x^688+5712x^689+1736x^690+22736x^691+23688x^692+1456x^693+3696x^694+6720x^695+8162x^696+5712x^697+1736x^698+18480x^699+16184x^700+49x^704+35x^712+21x^720+7x^728+14x^736

The gray image is a linear code over GF(8) with n=784, k=6 and d=667.
This code was found by Heurico 1.16 in 44.5 seconds.