The generator matrix 1 0 0 0 1 1 1 0 0 X^2 X^2 1 1 1 1 1 X^2+X 1 X 1 X^2+X 1 X^2+X 1 X^2 1 0 1 1 X^2 0 1 X^2 1 X^2+X 1 X X 1 0 X^2+X X^2 1 1 1 1 X 1 X^2+X 1 1 X^2 1 X^2+X 1 X X^2+X X^2 1 1 X^2+X 1 1 1 1 0 1 1 X^2+X X 1 X^2+X 1 1 0 X^2 X 0 X X^2+X 1 X^2 1 X^2 X^2+X X^2+X 1 1 0 0 1 X^2+X X^2 1 1 X^2 1 1 1 0 1 0 0 0 X^2 X^2 X^2 1 1 1 X^2+X+1 X+1 X+1 X^2+X+1 X X X+1 1 X+1 1 X 0 X^2+1 0 X^2 1 X^2+1 0 1 1 X^2+X X X+1 1 X^2+X 1 X^2 X^2+1 X^2+X X^2 1 1 X 0 X^2+X X 1 1 X+1 X+1 0 1 0 X 1 1 1 X^2+X+1 1 1 0 X^2+X+1 X^2+X X^2 1 X^2+1 X^2+X X 1 0 1 0 X^2+1 1 X 1 X^2 X X^2+X X^2+1 1 X^2+1 1 X^2+X 1 X X+1 X^2+X 1 0 X 1 X^2+1 X^2+X X^2 X^2 X^2+X 0 0 0 1 0 X^2 1 X^2+1 1 X+1 0 X+1 X^2+1 X^2 0 1 X 1 1 X+1 X^2+X X^2+X+1 X+1 1 X^2+1 X X X^2+X 0 X^2+X+1 X^2 X^2+X+1 X^2 X^2 X^2 X^2+1 1 X^2 1 X 1 0 X X^2+X 1 0 X+1 1 X^2+X+1 X+1 X^2+X+1 X+1 1 X X^2+X X X^2+X X^2+X 1 X^2+X+1 X^2+1 X^2+1 X+1 X+1 0 X^2+X X^2+1 X^2+X X 1 0 X^2+1 0 X^2+X X^2+X+1 X^2+X 1 X^2+X X^2 1 X^2+X X^2 1 X^2+X X 1 X X X^2+X 0 0 X^2 1 X^2+X+1 1 X^2 1 0 X^2+X X 0 0 0 1 X^2+X+1 X^2+X+1 0 X+1 X^2 1 X^2+1 X^2+X+1 X+1 X^2 0 0 X^2 1 X+1 0 X^2 X^2 X+1 X^2+X 1 X^2+1 1 X+1 X^2+1 X X X 1 X^2+1 X+1 X+1 0 X^2+1 X^2 0 1 X+1 X^2+X+1 X^2+X X X+1 X^2+1 X^2+X 1 X^2+X X^2+X+1 X^2+X X^2+1 1 1 X^2+1 X 0 1 X^2+X+1 X^2+X X+1 0 0 X^2+1 1 X X^2+X X X^2+X+1 1 X X^2 0 X^2+X X^2 X^2+X+1 1 X 1 X^2+1 X X^2+1 X^2 0 1 X+1 1 1 X^2+X X^2+1 X+1 X+1 X^2+X X^2+X+1 X^2+X+1 X^2+1 X^2 X generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+42x^92+274x^93+385x^94+384x^95+364x^96+428x^97+334x^98+300x^99+222x^100+296x^101+233x^102+164x^103+82x^104+114x^105+116x^106+102x^107+51x^108+70x^109+52x^110+20x^111+16x^112+18x^113+8x^114+6x^115+13x^116+1x^120 The gray image is a linear code over GF(2) with n=396, k=12 and d=184. This code was found by Heurico 1.16 in 1.34 seconds.