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

generates a code of length 96 over F8[X]/(X^2) who´s minimum homogenous weight is 653.

Homogenous weight enumerator: w(x)=1x^0+5208x^653+6048x^654+280x^655+924x^656+3024x^657+3248x^658+2576x^659+3360x^660+16632x^661+15344x^662+1400x^663+2793x^664+10584x^665+5600x^666+3920x^667+3640x^668+22736x^669+18704x^670+2632x^671+3164x^672+10080x^673+5936x^674+4144x^675+4144x^676+23576x^677+17808x^678+2856x^679+4228x^680+12152x^681+6720x^682+3696x^683+3192x^684+17864x^685+13776x^686+42x^688+70x^696+21x^704+14x^712+7x^728

The gray image is a linear code over GF(8) with n=768, k=6 and d=653.
This code was found by Heurico 1.16 in 30.1 seconds.