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 X 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 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^5*X a*X a*X a^4*X a^3*X a^4*X a^2*X a^6*X a^3*X a^3*X a*X X a*X a^4*X a^4*X 0 0 a^5*X a^5*X a^5*X a*X a^4*X X X a^2*X a*X a^3*X a^2*X a^4*X a^4*X 0 a^5*X a*X a^2*X a^5*X X 0 X a^6*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^4*X a^5*X a^4*X 0 a^3*X a^3*X a^6*X a^4*X a^6*X a*X X a^6*X a^5*X a^4*X a^4*X a*X X a^2*X a*X X a^2*X a^4*X a^6*X a*X a^5*X a^2*X a*X a^5*X a*X a*X a^6*X 0 a^5*X X a^5*X 0 a^5*X a^2*X a*X X 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^4*X a^3*X a^3*X a^5*X a^5*X a^4*X a*X a^4*X a^5*X 0 a^3*X a^5*X a^2*X a^5*X 0 a^2*X a^5*X a^5*X a^6*X 0 a*X a^2*X a^2*X a^4*X a^5*X a^4*X a*X a^4*X a^6*X a^2*X a^2*X X X a^4*X a^6*X a^4*X X a^5*X a^2*X a^6*X generates a code of length 99 over F8[X]/(X^2) who´s minimum homogenous weight is 664. Homogenous weight enumerator: w(x)=1x^0+294x^664+924x^672+1862x^680+8799x^688+19663x^696+336x^704+147x^712+224x^720+168x^728+105x^736+105x^744+63x^752+21x^760+28x^768+28x^776 The gray image is a linear code over GF(8) with n=792, k=5 and d=664. This code was found by Heurico 1.16 in 1.23 seconds.