The generator matrix 1 0 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 1 1 X 1 1 1 1 1 1 1 1 1 1 1 X 1 1 a^3*X 1 1 1 1 a^2*X 1 1 1 1 1 1 1 1 1 1 1 1 a^2*X 1 1 0 1 1 a 0 X a^6*X+1 a^6*X+1 X a^5*X+1 a*X a^5*X+1 a*X a*X+1 a^6*X+a^2 a^3 a^5*X a*X+1 a^6*X+a^4 a^5 a^6*X+a^6 a^5*X 1 a^3 a a^6*X+a^2 a^6*X+a^4 a^6*X+a^6 1 a^5 X+a 1 a^5*X+a^2 X+a^3 a^5*X+a^4 X+a^5 a^5*X+a^6 X+a X+a^3 a^5*X+a^6 a^5*X+a^2 a^5*X+a^4 X+a^5 1 a*X+a a^3*X+a^2 1 a^3*X+a^3 a^3*X+a^6 a^4*X+a^4 a^2*X+a^5 1 a^3*X+a^2 a^4 a^4*X+a^6 a*X+a a^5*X+a^3 a^3*X+a^5 a^4*X+a^6 a^4*X+a a^2 a^3*X+a^3 a^4 a^2*X+a^5 1 a^4*X+a a^2 0 0 a^6*X a*X a^2*X a^5*X a^3*X a^4*X a^4*X a*X X a^5*X a^3*X a^2*X 0 a^6*X a*X X 0 a^2*X a^4*X a^6*X 0 a^3*X X a^6*X a^2*X a^5*X a^3*X a*X a^6*X X a^4*X a^5*X X a^5*X a^3*X a^3*X a^2*X 0 X a*X a^4*X a^2*X a^2*X a^5*X a*X a*X X a^5*X a^6*X a^6*X a^2*X a^3*X a*X a^4*X X 0 a^6*X a^5*X a^3*X 0 a^4*X X a^5*X 0 a*X generates a code of length 67 over F8[X]/(X^2) who´s minimum homogenous weight is 460. Homogenous weight enumerator: w(x)=1x^0+5880x^460+6272x^461+196x^464+3920x^468+1792x^469+273x^472+8120x^476+6272x^477+35x^480+7x^504 The gray image is a linear code over GF(8) with n=536, k=5 and d=460. This code was found by Heurico 1.16 in 42.4 seconds.