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

generates a code of length 92 over F8[X]/(X^2) who´s minimum homogenous weight is 616.

Homogenous weight enumerator: w(x)=1x^0+448x^616+280x^617+336x^620+392x^621+728x^622+4816x^623+714x^624+1904x^625+4536x^628+2856x^629+3304x^630+14728x^631+735x^632+4592x^633+9464x^636+5208x^637+5880x^638+25480x^639+588x^640+6944x^641+23464x^644+11704x^645+11256x^646+43288x^647+406x^648+9912x^649+19544x^652+8512x^653+7504x^654+26376x^655+273x^656+5040x^657+231x^664+224x^672+112x^680+189x^688+91x^696+21x^704+42x^712+14x^720+7x^728

The gray image is a linear code over GF(8) with n=736, k=6 and d=616.
This code was found by Heurico 1.16 in 23.1 seconds.