The generator matrix 1 0 0 1 1 1 0 1 X^2 1 1 X X^2+X 1 1 X^2+X 1 1 1 X X^2+X 0 1 X^2+X 1 1 X 1 1 1 1 0 X^2 X^2+X 1 1 0 X 1 X^2+X 1 X^2 1 1 1 1 1 1 0 1 0 1 0 0 1 X^2+1 1 X 1 1 X^2+X 1 X^2 X^2+X+1 0 X^2+X X^2+1 X+1 X^2 1 1 X^2+X X^2+X 1 X+1 X^2+1 1 1 X X 1 X^2+X 1 1 X^2+X X+1 1 1 X^2+X X X 1 1 X 0 X^2+X X^2+1 X+1 1 0 0 0 1 X+1 X^2+X+1 0 X+1 X^2+1 X^2+X 1 X^2 X^2+1 1 X^2 1 1 X X+1 X X X+1 1 X^2+X X^2+1 X X^2+1 X^2 X^2+X 0 1 X^2+X+1 1 X^2+1 X^2+X X^2+X+1 0 X^2+X+1 0 X 1 1 X+1 X^2+1 X+1 0 0 X^2 X^2+X X^2+1 X+1 0 0 0 X^2 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 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 generates a code of length 50 over Z2[X]/(X^3) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+408x^46+506x^48+446x^50+333x^52+174x^54+97x^56+50x^58+23x^60+10x^62 The gray image is a linear code over GF(2) with n=200, k=11 and d=92. This code was found by Heurico 1.16 in 8.5 seconds.