The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 a a^6*X+a^2 a^3 a^6*X+a^4 a^5 a^6*X+a^6 a a^6*X+a^2 0 a^6*X+1 a^5 a^6*X+a^4 a^6*X+a^6 a^3 1 a^6*X+1 a^5 a^3 a X+a a^6*X+a^2 X+a^5 a^6*X+1 a^2*X+a^5 a^6*X+a^4 a^6*X+a^5 a^5*X+a^4 a^5*X+a^2 a^5*X+a^4 a^3*X+a^4 a^6*X+a^6 a^5*X+a^6 0 a*X+a 1 a^4*X+1 X+a^3 X+a^3 0 0 a^6*X 0 X X a^3*X X a^2*X a^3*X a^6*X a^2*X a^2*X 0 0 a^2*X a^6*X X X a*X a^3*X a^4*X a^6*X a^3*X 0 a^4*X a^6*X a^5*X a^6*X a*X 0 a^6*X a^5*X a^3*X a^5*X a*X a*X a^4*X a^5*X a^3*X a*X 0 0 0 X a^6*X a^5*X a^3*X a^2*X a^5*X a^6*X a^6*X a^4*X a*X a^2*X a^5*X 0 a^4*X a^5*X a*X a^3*X 0 a^4*X a^3*X X a*X a^3*X 0 a^5*X a*X a^2*X 0 X a^3*X a^4*X a*X X a^4*X 0 X X a*X generates a code of length 41 over F8[X]/(X^2) who´s minimum homogenous weight is 264. Homogenous weight enumerator: w(x)=1x^0+462x^264+112x^266+448x^267+1568x^268+2184x^269+819x^272+2352x^274+4032x^275+8736x^276+6888x^277+721x^280+16464x^282+19264x^283+31584x^284+22680x^285+581x^288+38416x^290+33600x^291+44128x^292+25592x^293+560x^296+413x^304+301x^312+210x^320+28x^328 The gray image is a linear code over GF(8) with n=328, k=6 and d=264. This code was found by Heurico 1.16 in 8.59 seconds.