The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 0 1 1 1 X^2+X 1 1 1 X 0 1 1 1 1 X^2+X 1 1 0 1 1 1 X^2 1 X^2+X 1 1 1 0 1 1 0 1 X^2+X X 1 1 1 1 0 1 X^2+X 1 X^2 1 1 1 X^2 0 1 1 1 X 0 1 1 1 X^2+X 1 1 1 X^2 X^2 0 1 X^2+X 1 1 1 X^2 1 1 X^2 1 1 0 1 X^2 1 1 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 1 X^2+X X+1 0 1 X^2+1 X^2 X^2+1 1 1 X^2+X X+1 X X^2+X+1 1 0 X^2+1 1 X^2+X X^2+1 0 1 X+1 1 X^2+X 0 X^2+1 1 X+1 0 1 X^2+X 1 1 X^2+1 X^2+X+1 0 X^2 1 1 1 0 1 X^2+X X^2+X X^2+1 1 1 X+1 0 X 1 1 X+1 X 1 1 X+1 0 X^2+1 1 1 1 X+1 1 0 X^2 1 1 X X^2 1 X^2+X X^2+1 1 X^2 1 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 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 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 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 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 0 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+43x^80+30x^81+100x^82+214x^83+177x^84+510x^85+227x^86+792x^87+256x^88+996x^89+278x^90+1060x^91+250x^92+996x^93+226x^94+792x^95+201x^96+510x^97+130x^98+214x^99+74x^100+30x^101+30x^102+4x^104+13x^106+10x^108+10x^110+7x^112+5x^114+1x^116+3x^118+1x^122+1x^130 The gray image is a linear code over GF(2) with n=364, k=13 and d=160. This code was found by Heurico 1.16 in 6.61 seconds.