The generator matrix 1 0 0 1 1 1 X^2+X X 1 1 1 X^2 X^2 1 0 1 1 1 X 1 X^2+X X 1 0 1 1 X 1 1 1 X^2 X^2 X^2+X 1 X 1 1 1 1 1 1 X 1 1 X^2 1 X X^2 X^2 1 1 1 X^2+X 1 X X^2+X 1 X X^2+X X^2+X 1 1 1 X 1 X 1 X^2 X^2 X^2 1 X 1 X^2 1 X 1 0 1 1 1 1 1 1 0 1 X^2+X X^2+X 1 X 1 1 1 1 1 1 1 0 1 0 1 0 0 1 X+1 1 X^2 X^2+X+1 X+1 X^2+X 1 1 X^2 0 0 X X^2+X+1 1 X^2+1 1 0 X^2+X+1 1 X^2+1 X^2 1 X^2+X X X^2 X 1 1 1 X^2+X X^2+X+1 X^2 X^2+X X^2+1 1 0 1 X+1 X 1 X+1 1 0 1 1 1 X 1 X^2+X+1 X X^2 X^2+X 1 X 1 0 X+1 0 X^2 X^2+X+1 1 X^2+X X 1 1 X+1 1 X^2 X X 1 X^2+X 1 X^2 1 X+1 X+1 X X^2 1 0 1 X X 1 X X^2+X X^2+X+1 1 0 X+1 X^2+1 1 0 0 0 1 1 1 X^2 1 1 X+1 X^2+X X^2+1 X^2+1 X^2+X X 1 X^2+X+1 X X^2+X+1 X^2+1 X^2 X^2 1 X^2+X X^2+1 X^2+1 X+1 X^2+X 0 X^2+1 X^2+X 1 X+1 0 X^2+X+1 1 0 X X^2+X+1 X+1 X^2 0 X+1 X+1 X^2+X+1 X^2+X+1 0 X+1 1 1 X^2 X^2+X+1 X^2+X X^2+X 1 1 1 1 1 1 0 X^2+X X+1 X^2 1 X X^2+X+1 X^2+1 1 0 X^2+X 1 X^2+X+1 X^2+1 1 X+1 X+1 X^2 0 X+1 X^2+X X+1 X X^2+X+1 X+1 1 X^2+X+1 X^2+1 1 0 1 X^2+X X^2+1 X^2 X^2+X X X^2+1 X^2+X X+1 X^2+X 0 0 0 X X^2+X 0 X X X^2+X 0 X^2+X X^2+X 0 0 X^2+X X^2+X X^2 0 X^2 X X^2+X 0 X X^2 X^2 X^2 X X 0 X^2+X X^2+X X^2+X 0 X^2 X X^2 X^2+X X^2 X X^2 0 0 X^2 X 0 X^2+X 0 X^2+X X 0 X^2+X X^2+X X^2 X^2 0 X^2+X X^2+X X X^2 X^2 X^2 0 X^2+X X X X X X^2 0 X^2+X X X^2 0 0 0 X^2 X X^2+X X X X X^2+X X^2 0 X^2 X^2 0 X X^2 X^2+X 0 X 0 X^2 X^2 X^2+X X X^2 X 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 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+134x^92+244x^93+374x^94+292x^95+410x^96+304x^97+422x^98+252x^99+269x^100+296x^101+232x^102+156x^103+167x^104+108x^105+126x^106+72x^107+83x^108+32x^109+36x^110+24x^111+32x^112+4x^113+6x^114+4x^115+6x^116+4x^117+2x^118+2x^120+2x^122 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 1.88 seconds.