The generator matrix

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

generates a code of length 94 over F8[X]/(X^2) who´s minimum homogenous weight is 639.

Homogenous weight enumerator: w(x)=1x^0+6048x^639+5082x^640+448x^641+1008x^642+2016x^643+2296x^644+3136x^645+2408x^646+20888x^647+12299x^648+3080x^649+3360x^650+5432x^651+5264x^652+4984x^653+3024x^654+27384x^655+16933x^656+5040x^657+4592x^658+7280x^659+4984x^660+5264x^661+2856x^662+27272x^663+16611x^664+5768x^665+5376x^666+6776x^667+5376x^668+4536x^669+2464x^670+22344x^671+10395x^672+42x^680+28x^688+28x^696+21x^704

The gray image is a linear code over GF(8) with n=752, k=6 and d=639.
This code was found by Heurico 1.16 in 99.1 seconds.