The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2+X 1 1 0 1 1 X X^2+X 1 1 0 1 1 X^2 1 1 1 1 X^2+X 0 1 1 X 1 1 X^2+X 1 1 1 X^2+X 1 1 1 X^2 1 1 0 X^2 0 X^2+X 1 1 0 1 0 1 1 1 1 X^2+X 1 X 1 1 1 1 1 X^2 1 1 1 X 1 X^2+X X^2 0 1 1 X X 1 1 0 X 1 1 1 1 0 1 1 0 1 1 X^2 1 X^2 0 X 1 1 0 1 1 0 X^2+X+1 1 X^2 X^2+X+1 1 X 1 1 X X+1 1 1 1 X^2+X 1 X^2+1 X^2+X 1 X^2+X+1 0 X^2+1 X 1 1 X^2+X+1 X 1 X X^2+1 1 X^2+X+1 X^2 X^2 1 X^2+1 1 0 1 X^2+1 X 1 1 1 1 X^2+X X^2+X+1 1 0 1 X^2+1 1 X^2 X^2 1 X 1 X^2+1 X^2 X^2+X X^2+X+1 X^2+X+1 1 X^2+1 X^2+X X+1 1 X^2+X+1 1 0 1 X^2+1 0 1 X^2 0 X+1 1 1 X X X X^2+1 1 X^2 X^2+1 1 X^2 X 1 X+1 1 1 X^2 X^2+X X^2+X 0 0 X 0 X^2+X 0 X X^2 X X^2 0 X^2+X X X^2 0 X^2+X X X 0 X^2 0 X^2+X X X^2+X X^2 X X^2+X X 0 X 0 0 0 X^2 X X^2+X 0 0 X^2 X^2 X^2 X^2 X^2+X X 0 X X^2 X^2 X^2+X X^2+X X^2+X X^2 X^2+X X^2+X X^2+X X^2 0 X^2+X X 0 X X X X^2 X^2 X X 0 X X^2+X X^2 X X 0 X^2+X X^2+X X^2+X X X^2+X X 0 0 0 0 X^2+X 0 X 0 X^2 X^2 X X^2+X X^2+X X^2+X X^2 X X^2 X^2+X 0 0 0 0 X 0 0 0 X X X^2+X X^2+X X X^2 0 X^2+X X^2 X^2+X X X X^2 0 X^2 X^2+X X^2+X X X^2 X X^2 X X^2+X X X^2+X X^2 0 X^2 0 X X^2+X X^2 X^2+X 0 X X^2+X X^2+X X^2 X X 0 0 X^2+X 0 X 0 X^2 X^2+X X 0 X^2 X^2+X 0 X^2 X^2+X 0 0 X^2 X X^2+X X^2 0 X^2+X X^2 0 X^2+X X^2 0 X X X^2+X X^2+X X X^2+X X^2 X X^2 X^2 X X^2+X X^2 X^2+X X^2+X X^2 0 0 X^2+X X X X X X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 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 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+64x^91+184x^92+250x^93+269x^94+334x^95+313x^96+270x^97+341x^98+332x^99+289x^100+250x^101+222x^102+242x^103+209x^104+154x^105+135x^106+96x^107+40x^108+20x^109+13x^110+12x^111+11x^112+10x^113+2x^114+8x^115+6x^116+4x^117+6x^118+2x^120+2x^121+2x^122+1x^124+1x^126+1x^134 The gray image is a linear code over GF(2) with n=396, k=12 and d=182. This code was found by Heurico 1.16 in 2.13 seconds.