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 a^5*X 1 1 1 1 1 1 1 1 1 a*X a^4*X 1 1 1 1 1 a*X 0 1 0 1 a a^2 a^6*X+a^3 a^6*X X+1 a^4 a^6*X+a^4 a^6*X+a^2 X X+a 1 a^6*X+1 a^6*X+a a^5*X+a^2 X+a^4 a^5 a^2*X a^4*X+a^6 1 a^2*X+a^3 a^5*X+a^4 a^3*X+1 a^5*X+a X+a^3 X+a^2 a^3*X a^6*X+a^4 a^2*X+1 1 1 a^5*X+1 a^5*X+a^4 a^3*X a*X+a^2 a^5*X+a^6 1 0 0 1 a^6 a a^4 1 X+1 a^6*X+a^4 X+a^6 X X+a a^5*X+a^3 a^6*X+a^3 X+1 a^2*X+a a^2*X+a^2 a*X+a^3 a^4*X+a^4 a^4*X a^3*X+a^6 a^5 a*X+a a^3*X a*X+1 X+a^5 a^3*X+a^4 a^3*X+a^5 a*X+a^5 a^5*X+a a^3*X+a^3 a*X+a^6 a^2*X+a^6 a^6*X+a a^4*X+a a^2*X+1 a^4*X+1 a^5*X+1 a^5*X+a a^5*X+a^5 generates a code of length 40 over F8[X]/(X^2) who´s minimum homogenous weight is 263. Homogenous weight enumerator: w(x)=1x^0+3304x^263+154x^264+392x^266+1624x^267+3360x^268+8176x^269+5600x^270+16576x^271+49x^272+448x^273+5488x^274+10192x^275+12992x^276+17248x^277+7616x^278+25928x^279+105x^280+3136x^281+19208x^282+24024x^283+23072x^284+28336x^285+11872x^286+33040x^287+77x^288+70x^296+49x^304+7x^312 The gray image is a linear code over GF(8) with n=320, k=6 and d=263. This code was found by Heurico 1.16 in 7.54 seconds.