The generator matrix 1 0 0 0 1 1 1 0 0 0 X 1 1 1 1 X 1 X 1 1 1 1 1 X X 0 0 1 1 0 0 1 1 X 1 0 1 0 0 X X X X X X 1 1 1 1 1 0 1 0 0 0 0 0 X 1 1 1 1 X+1 1 X+1 1 X 1 X X+1 1 X X+1 1 X 1 X X X+1 1 X 1 1 0 X+1 0 1 1 0 0 0 1 1 X X 0 0 X+1 0 1 0 0 1 0 1 X X+1 1 1 X 1 X+1 X 0 1 X+1 1 X X X+1 X+1 0 0 0 1 0 1 X+1 0 X+1 0 X 1 1 X+1 1 0 0 X 0 X 1 1 0 X 1 1 X X 0 0 0 0 1 X 1 X+1 1 X+1 1 0 0 X X+1 1 X 0 X+1 X+1 X 1 X 0 1 X+1 X X 1 1 X+1 1 X 1 X+1 X+1 X+1 X 1 1 1 1 1 X+1 1 1 1 X+1 0 0 0 generates a code of length 50 over Z2[X]/(X^2) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+15x^46+38x^47+47x^48+54x^49+20x^50+16x^51+28x^52+6x^54+8x^55+8x^57+4x^58+3x^62+2x^63+4x^64+2x^65 The gray image is a linear code over GF(2) with n=100, k=8 and d=46. This code was found by Heurico 1.10 in 0 seconds.