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 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 0 X a*X a^5*X X a^6*X a^6*X a^2*X a^3*X a^4*X a^5*X a^3*X X a^6*X a^6*X a^5*X 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*X a^4*X a*X 0 a^3*X 0 a^2*X a^3*X X a^4*X a^4*X 0 a^6*X a*X a^4*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 0 a^3*X a^6*X a^4*X a^6*X 0 a^6*X a^6*X 0 a^2*X 0 a^2*X a^2*X a^3*X 0 X generates a code of length 92 over F8[X]/(X^2) who´s minimum homogenous weight is 616. Homogenous weight enumerator: w(x)=1x^0+364x^616+840x^624+735x^632+518x^640+28672x^644+434x^648+294x^656+252x^664+189x^672+133x^680+112x^688+119x^696+49x^704+35x^712+14x^720+7x^736 The gray image is a linear code over GF(8) with n=736, k=5 and d=616. This code was found by Heurico 1.16 in 1.1 seconds.