The generator matrix 1 0 0 0 1 1 1 0 0 X^2 X^2 1 1 1 1 1 X^2+X X^2+X 1 1 1 X X^2 1 1 1 1 X 0 0 1 X^2+X X 1 1 X^2+X 1 X^2 X^2 X^2 1 X^2+X 1 1 1 1 X 1 X^2 X^2+X X^2 1 1 1 X^2 1 1 1 1 X^2 0 1 X 1 X^2+X 1 X^2+X 1 X X^2 X^2+X 1 X^2+X X^2+X 1 0 X^2+X X^2 X 0 1 1 X^2+X 1 1 1 X^2 0 X^2+X X 1 1 X^2+X X^2 X 1 1 1 1 0 1 0 0 0 1 1 1 X^2 1 1 0 1 1 0 X X 1 X^2+1 X^2+X X^2 1 X^2 0 X^2+X+1 X+1 X+1 1 1 0 X^2 X^2 1 X^2+X+1 X^2 1 X^2+X+1 X^2+X 0 1 X^2+X 0 1 X X X+1 1 X+1 1 1 X^2+X X X^2+1 1 X X^2+1 1 X+1 X^2 1 1 1 1 0 1 X+1 X^2 X^2+X+1 1 1 X X^2+X+1 1 1 X 1 X 1 1 1 X^2+X X^2+X+1 1 X^2+1 X^2+1 X+1 1 1 1 1 X^2+X+1 X^2+X 1 X 0 X^2+X X+1 0 0 0 0 1 0 1 X^2 X^2+1 1 1 0 1 X^2 1 0 X^2+1 X^2 1 X X^2+X X^2+1 X 1 X X^2+X+1 X^2+1 0 X^2+1 X^2 X^2+X+1 1 X^2 1 X+1 X X^2+X+1 0 X^2+1 1 1 X^2+X X 0 X+1 X+1 X^2+1 X^2+X+1 X^2+X 0 X^2+X+1 0 1 X 1 X X^2 X+1 X+1 X^2 0 X X^2+1 X X^2+1 X+1 X+1 X X X^2+X X^2+X+1 X^2 1 X^2+X+1 X^2+1 X^2+X+1 X^2 X^2 X X^2+X X^2+1 X^2 X+1 X^2 0 X^2+X+1 X^2+X+1 X^2+X 1 X^2+X+1 X 1 X X+1 X^2+1 X 1 X^2+X+1 X^2 X^2+X 0 0 0 0 1 X^2 0 X^2 X^2 1 1 X^2+1 1 1 X^2+1 X^2+1 X^2+X X+1 X^2 0 0 X+1 X 1 X+1 X^2+X X^2+X+1 1 X^2+1 X+1 X X X^2+1 0 X^2+1 0 X+1 X^2 X^2 X^2+X+1 X^2+X X 1 X^2 X X+1 X^2+1 X^2+1 X^2+X 0 0 X^2+X X^2+X+1 X X^2+1 1 X+1 1 X^2 X^2+X+1 X^2+X+1 X^2+X+1 X+1 1 X^2+1 X^2+1 X^2 1 X X^2+X X X^2+X X X X^2+X+1 X+1 X^2+X+1 1 X^2 X^2+X+1 1 1 X+1 X^2 X X^2+X+1 X+1 X^2+X X^2+1 X^2+X+1 X^2 0 X+1 X^2+X 1 X^2+X+1 X^2+1 1 X^2+1 1 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+54x^92+328x^93+272x^94+486x^95+290x^96+456x^97+245x^98+394x^99+227x^100+306x^101+137x^102+192x^103+114x^104+120x^105+99x^106+134x^107+35x^108+82x^109+43x^110+38x^111+14x^112+16x^113+4x^114+4x^115+1x^120+4x^121 The gray image is a linear code over GF(2) with n=396, k=12 and d=184. This code was found by Heurico 1.11 in 0.687 seconds.