The generator matrix 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 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 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 1 1 1 1 1 1 1 X 1 1 1 1 0 X 0 0 X X a*X a^2*X a^4*X a^5*X a^5*X X a^5*X a^6*X 0 a*X a^5*X a*X a^5*X 0 a^4*X a*X a*X a^2*X a*X X a^4*X a^2*X X a^3*X a^6*X a^4*X 0 0 a^4*X a^2*X a^2*X a^6*X a^2*X a^3*X a^2*X a^5*X a^2*X a^5*X a^6*X a^4*X a*X a^4*X X a^4*X X a^5*X a*X X a^3*X X 0 a^2*X a^2*X a*X a^5*X a*X a^4*X a^3*X a^4*X a^2*X a^6*X a^6*X a*X a^6*X a*X X X a^4*X a^2*X a^2*X a^5*X 0 a^4*X a^6*X a^6*X a^6*X a^6*X a^6*X a^4*X a*X 0 a^2*X X a^4*X 0 X a^4*X a*X X 0 0 0 X 0 a^6*X a^5*X a*X a^6*X a^6*X a*X a^6*X a^2*X a*X a^3*X X a^5*X X X a^4*X a^3*X X a*X a^4*X 0 a^2*X 0 0 a^2*X a^2*X a^6*X X a^5*X a^4*X a^6*X X a^2*X 0 a^6*X a^2*X a^5*X X a^2*X a^6*X a^5*X a^4*X a^5*X a^4*X a*X a^5*X 0 a^6*X a^2*X X 0 a^3*X a^3*X a*X a^4*X a^4*X a^5*X a^4*X a^4*X 0 a^3*X a^3*X a^6*X a^4*X a^6*X X a^5*X a^2*X a^2*X a^3*X a*X X a*X a^2*X X a^4*X 0 0 a*X a^4*X 0 a*X a*X a^3*X a^5*X a^6*X a*X a*X a^2*X a^2*X a*X a^6*X 0 0 0 0 X X a^4*X a^4*X X a^6*X a^4*X a^6*X a^6*X a^3*X a*X a^4*X a*X a^3*X a^5*X a^6*X a^2*X a^4*X X 0 a^5*X 0 a^5*X a*X a^6*X a^3*X 0 a^3*X a^6*X a^3*X a^4*X a^2*X a*X 0 a^4*X a^2*X X a^2*X a^3*X 0 a^5*X a^3*X a^5*X a^2*X a^5*X a^3*X a^4*X a^6*X 0 a^2*X a*X a^2*X X a^3*X a*X a^6*X a^3*X a^4*X a^3*X a^5*X a^5*X a^4*X a*X a^4*X X a^3*X a^3*X a*X a^5*X a^2*X a^6*X X a^4*X a^5*X a^5*X a^5*X 0 a^5*X a^5*X a*X a^3*X a^2*X a^6*X a^6*X a^2*X a^2*X a^3*X a^2*X a*X a^2*X 0 a^3*X 0 generates a code of length 96 over F8[X]/(X^2) who´s minimum homogenous weight is 640. Homogenous weight enumerator: w(x)=1x^0+161x^640+679x^648+763x^656+588x^664+3584x^665+504x^672+25088x^673+336x^680+238x^688+252x^696+196x^704+105x^712+91x^720+91x^728+42x^736+14x^744+28x^752+7x^760 The gray image is a linear code over GF(8) with n=768, k=5 and d=640. This code was found by Heurico 1.16 in 1.19 seconds.