The generator matrix 1 0 1 1 1 0 1 X^2+X 1 X^2 1 1 1 1 0 1 1 X^2 1 1 0 1 0 X^2+X 1 1 1 0 1 1 X^2+X 1 1 X^2+X X 1 1 X 1 0 X^2 1 1 X 1 1 1 1 1 X^2 0 X^2+X 1 0 1 X^2+X X^2+X X^2 1 0 X^2 1 X^2+X X X^2+X X X^2+X 1 X^2 0 0 1 X X 1 1 X X^2 X 1 1 1 1 1 1 1 1 X 0 1 X 1 X^2+X X^2 1 1 1 1 0 1 1 0 X^2+X+1 1 X 1 X+1 1 X^2+X X^2+1 0 X^2+1 1 X^2+1 X^2 1 X^2+X X+1 1 X+1 1 1 X^2+X 0 X+1 1 X^2+X 1 1 X^2+1 X^2+X 1 1 0 X^2+1 1 X^2 1 1 X+1 0 1 X^2+X+1 1 X 0 0 1 1 1 X^2+X 1 X^2 1 1 1 X+1 X^2 1 X^2+1 1 1 1 1 1 X^2+X 1 1 1 X 1 1 1 X^2 X 1 1 X^2+X X^2 X^2 0 X^2+X X X^2+1 X^2 0 1 X^2+X X^2+X X+1 1 1 0 1 0 X^2+1 0 0 X 0 X^2+X X X^2 X X^2+X X 0 X^2+X X X^2 0 X^2 X X X^2+X 0 X^2 0 X^2+X X^2+X X^2+X X^2 X X^2 X^2+X X^2 0 X^2+X 0 X^2+X X^2 X X 0 X^2+X X 0 X 0 X X^2 X^2 0 X^2 X X 0 X^2+X X X^2+X 0 X^2+X 0 X^2 X X 0 X 0 X^2 X^2+X 0 X^2 X^2 X X^2 X^2 0 0 X X^2 X^2 X X^2 0 X X X^2+X X X^2 0 0 X^2+X X X^2+X 0 X^2+X X X X^2 0 X^2+X 0 0 0 0 0 X 0 X X X X X^2 X^2 X^2+X X^2+X X^2 X^2+X X^2+X X^2 X^2 X 0 X^2 X^2+X X^2+X X X^2 0 X X^2+X 0 X 0 X^2+X X^2 X X^2 X^2+X X^2 X^2+X X^2 0 0 X X^2+X X^2 X^2+X X^2 X 0 X^2 0 X^2+X 0 X^2+X X X^2+X X^2+X X X^2+X 0 X 0 0 X 0 0 0 X^2+X X X 0 X X^2+X X^2+X 0 0 X^2 X^2 0 X^2 X 0 X^2 X 0 X^2 X X^2+X X^2+X X^2 X X^2 X^2 0 X X^2+X X X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 generates a code of length 98 over Z2[X]/(X^3) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+178x^92+120x^93+284x^94+84x^95+256x^96+60x^97+254x^98+60x^99+194x^100+100x^101+144x^102+44x^103+109x^104+36x^105+74x^106+4x^107+16x^108+4x^109+8x^110+5x^112+4x^114+3x^116+4x^120+1x^124+1x^144 The gray image is a linear code over GF(2) with n=392, k=11 and d=184. This code was found by Heurico 1.16 in 1.25 seconds.