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

generates a code of length 97 over F8[X]/(X^2) who´s minimum homogenous weight is 660.

Homogenous weight enumerator: w(x)=1x^0+5208x^660+6104x^661+56x^662+896x^663+1071x^664+4088x^665+5712x^666+1904x^667+21000x^668+12264x^669+952x^670+3304x^671+3045x^672+9240x^673+9072x^674+1288x^675+26432x^676+15064x^677+1064x^678+5040x^679+3542x^680+9576x^681+9072x^682+2464x^683+26376x^684+15288x^685+1512x^686+5096x^687+3479x^688+9352x^689+8400x^690+1512x^691+21336x^692+12208x^693+63x^696+21x^704+28x^712+7x^720+7x^736

The gray image is a linear code over GF(8) with n=776, k=6 and d=660.
This code was found by Heurico 1.16 in 22.5 seconds.