The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X X 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 X 1 X 1 1 X 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X 0 X X 0 X X X X 0 X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 X X 0 X X 0 X 0 X X 0 X X 0 X 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 X X X X 0 X 0 X X 0 X X 0 0 0 X X 0 0 X 0 0 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 0 X X X X 0 0 0 0 0 0 0 0 0 X X X 0 X X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X X 0 X X 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X 0 X 0 X 0 X 0 0 0 0 0 X X X 0 0 X 0 X 0 X 0 0 X 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X 0 0 X 0 0 X 0 0 0 0 0 0 X X 0 X X 0 X 0 X 0 X 0 X X X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 0 0 0 X 0 X 0 0 X 0 X X 0 X 0 X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X 0 X X 0 0 X 0 0 X X X 0 X 0 X 0 0 X 0 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 0 0 X X 0 X X 0 X 0 X 0 0 0 X X X X X 0 X 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 0 X X X X X 0 0 0 X X 0 0 0 X 0 0 X X 0 X X 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 X 0 0 X 0 X 0 X X X 0 0 X 0 0 X X 0 X 0 X 0 X 0 X X 0 X X X 0 0 0 0 generates a code of length 50 over Z2[X]/(X^2) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+113x^32+366x^36+796x^40+140x^42+1650x^44+980x^46+3194x^48+1848x^50+3196x^52+1000x^54+1776x^56+124x^58+752x^60+4x^62+308x^64+110x^68+20x^72+6x^76 The gray image is a linear code over GF(2) with n=100, k=14 and d=32. This code was found by Heurico 1.16 in 33.7 seconds.