The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X X 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X X X 1 X X 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 X X 0 X 0 X X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 X 0 X 0 0 0 X 0 X X X 0 X X 0 X 0 X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X X 0 X X X X X X 0 0 0 X X 0 0 0 0 X 0 0 X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X 0 X 0 X 0 X X 0 0 X 0 0 X X 0 0 0 X X X 0 X X X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X X X X 0 X 0 X 0 0 0 0 X 0 X X X 0 0 X 0 0 0 0 X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 X 0 0 0 X X X 0 0 0 0 X 0 X X X 0 0 0 X 0 0 X 0 0 0 0 X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X 0 X 0 X 0 X X X 0 X 0 X 0 X X X 0 0 X 0 0 X 0 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X X X 0 X X X 0 X X 0 0 0 X 0 X X X 0 X 0 X 0 X 0 0 X X 0 0 X X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 X X 0 X 0 0 X X X X 0 0 X X X 0 0 0 0 X X X 0 X X 0 X 0 X 0 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 X 0 0 X 0 X 0 X X X 0 0 X X X 0 0 0 0 X X 0 0 X 0 0 X X X X X 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 0 0 X 0 0 X 0 X X X X X 0 X 0 X X 0 0 0 X X X 0 X X X X 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X X X 0 0 0 0 X 0 X 0 X 0 0 0 X 0 X X X 0 0 X 0 X 0 0 0 0 X X X 0 X generates a code of length 56 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+224x^40+590x^44+8x^46+1047x^48+360x^50+2362x^52+1680x^54+3763x^56+1680x^58+2494x^60+360x^62+1060x^64+8x^66+529x^68+169x^72+39x^76+8x^80+1x^84+1x^92 The gray image is a linear code over GF(2) with n=112, k=14 and d=40. This code was found by Heurico 1.16 in 50.8 seconds.