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

generates a code of length 92 over F8[X]/(X^2) who´s minimum homogenous weight is 624.

Homogenous weight enumerator: w(x)=1x^0+2646x^624+4704x^625+672x^626+560x^627+784x^628+224x^629+2632x^630+6328x^631+14945x^632+16352x^633+2408x^634+5040x^635+3640x^636+1176x^637+4928x^638+9912x^639+18907x^640+22008x^641+3136x^642+7056x^643+4704x^644+1008x^645+4648x^646+10472x^647+20566x^648+22064x^649+2632x^650+8848x^651+5208x^652+1176x^653+5712x^654+9128x^655+18627x^656+17304x^657+1904x^658+7x^664+28x^672+42x^680+7x^688

The gray image is a linear code over GF(8) with n=736, k=6 and d=624.
This code was found by Heurico 1.16 in 20.3 seconds.