The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X 1 1 0 1 1 X^2+X X^2 1 1 1 1 1 0 1 X^2+X X^2+X 1 1 1 X^2+X 1 1 0 1 1 1 X^2+X X^2 1 0 1 1 X 1 1 1 1 0 0 1 1 1 0 1 1 X^2 1 1 1 X^2+X 1 X^2+X 1 0 1 X^2 1 1 1 1 X^2 1 0 1 X^2 1 1 1 X 1 1 X^2 1 1 1 1 X 1 X^2 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X X^2+1 1 0 X^2+X+1 1 1 X^2+X 1 1 X^2+1 X^2 X 0 1 1 X+1 1 1 X X+1 X 1 X+1 1 1 0 X X+1 1 1 X^2 1 X X+1 1 X^2+X+1 X 1 X^2 1 1 X^2+X+1 X^2 X+1 1 X X^2+1 1 X^2 0 X 1 X^2+1 1 X^2+1 1 0 1 X^2+X+1 X+1 X X^2+X X^2 1 1 X^2+X+1 1 X^2 X+1 X+1 X X^2+X+1 X^2+X+1 X X^2 X^2 X+1 X+1 1 1 1 0 0 X 0 X^2+X 0 X^2+X 0 X^2+X X X^2 X X^2 X^2+X 0 X X^2 X^2 X X^2 X^2+X X^2+X 0 0 X^2+X X^2+X 0 X^2+X X^2+X 0 0 X 0 X 0 0 0 X^2+X X^2 X X^2+X X^2 X^2+X 0 X^2+X X^2+X X^2+X X X X^2+X X^2 X X 0 X^2+X X X^2 X^2 0 0 X X^2 X X^2+X 0 X^2 X X 0 0 X^2 X^2 X X^2 0 X^2+X X^2+X X^2 X^2 X^2+X X^2+X X X X X^2+X X^2+X X^2+X X^2 X^2 X^2 X^2+X 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+204x^80+56x^81+296x^82+288x^83+605x^84+560x^85+854x^86+1048x^87+1114x^88+1344x^89+1076x^90+1552x^91+1228x^92+1488x^93+1004x^94+928x^95+753x^96+584x^97+458x^98+272x^99+303x^100+64x^101+126x^102+8x^103+89x^104+24x^106+38x^108+12x^112+2x^114+2x^116+3x^120 The gray image is a linear code over GF(2) with n=364, k=14 and d=160. This code was found by Heurico 1.16 in 25.5 seconds.