The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X X 0 1 1 1 X 1 1 1 0 1 X 0 1 1 X 1 0 1 X 1 1 0 1 X 1 X 1 0 1 1 1 X 1 1 1 X 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 1 X X+1 X 0 1 1 X+1 X 1 X X 1 1 0 1 1 1 X+1 1 0 X+1 1 0 0 X 0 0 1 X 1 X 0 0 X+1 X 0 0 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 X+1 1 0 X+1 0 X 1 1 X 0 X+1 1 X+1 X 1 X+1 0 0 X+1 X+1 1 X+1 0 X 0 X+1 0 X 0 X X 0 X X+1 1 X+1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 X 0 X 0 0 0 0 X X+1 1 1 1 X+1 1 1 0 X+1 X X 0 0 1 1 X+1 X 1 1 1 X+1 0 1 0 X+1 1 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X 0 X X 0 0 0 X 0 0 0 X X X 0 X 0 X 0 0 0 X X 0 0 X X X 0 X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X X X 0 X 0 X 0 X X 0 X X 0 0 X X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X 0 X 0 X X X X X 0 X X X X 0 X 0 X 0 X 0 0 X X X X 0 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 X 0 0 0 0 X X X 0 0 X X X 0 X X X 0 X X X X X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 X X 0 0 X X 0 X 0 0 X X 0 0 X 0 X X X X 0 0 X X X X X X X X X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X 0 0 0 0 0 X X X X 0 X X X X 0 X X 0 0 X 0 0 X 0 X X X 0 X 0 X X 0 0 X X generates a code of length 53 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+37x^40+80x^41+190x^42+218x^43+385x^44+404x^45+558x^46+668x^47+739x^48+922x^49+979x^50+1166x^51+1146x^52+1226x^53+1180x^54+1168x^55+1129x^56+1036x^57+822x^58+670x^59+482x^60+352x^61+299x^62+180x^63+152x^64+74x^65+55x^66+26x^67+18x^68+2x^69+10x^70+6x^72+2x^74+1x^76+1x^78 The gray image is a linear code over GF(2) with n=106, k=14 and d=40. This code was found by Heurico 1.16 in 50.4 seconds.