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 1 1 a*X 1 1 1 1 1 1 1 1 a^5*X 1 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 a^6*X+a a^6*X+a^5 1 a^6*X+a^2 a^4*X a^4*X+a^5 a^5*X+1 X+a a^5*X+a^2 a^5*X+a^3 a^4*X+a^2 a^5*X a*X+1 a^4*X+a^3 a^2*X+a^6 X+a^3 1 a^4*X+a a^2*X+1 a^5*X+a^5 a^5*X+a a*X+a^6 a^6*X+a^6 a^2*X+a^3 a^6*X 1 a*X+1 a^4*X a a^3 a^3*X+a^4 0 0 1 a^6 a a^4 1 a^5 a^3 a^2 a^3*X+1 a*X+a^5 a*X+a^4 X+a^2 X+a^6 a*X+a^3 a^2*X+a^6 X+a^6 a^5*X+a^3 a^6*X+a^5 X+a a^6*X+a^4 X+1 a*X+a a*X a^2*X+a^2 a^5*X a^6*X+a^6 a^6*X+a^2 a^6*X a^6*X+1 a^3*X+a^4 a^2*X+a^5 a^5*X+1 a^3*X+a^6 a^3*X+a^6 X a^3*X+1 1 a^3*X+a^2 a^6*X+a^3 a^5*X a^3*X+a generates a code of length 43 over F8[X]/(X^2) who´s minimum homogenous weight is 284. Homogenous weight enumerator: w(x)=1x^0+4144x^284+2674x^288+14224x^290+23016x^292+896x^294+15232x^296+29792x^298+35616x^300+6272x^302+36246x^304+49168x^306+44744x^308+105x^320+14x^336 The gray image is a linear code over GF(8) with n=344, k=6 and d=284. This code was found by Heurico 1.16 in 16 seconds.