The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 X 1 1 1 0 1 1 1 1 0 1 1 1 X X X X X 1 1 X 1 0 1 1 1 0 X 1 X X X 1 1 1 X 1 1 1 0 1 0 0 0 0 0 0 0 1 X+1 1 1 1 1 1 X 1 X+1 X 1 0 1 X 1 X+1 0 0 1 1 X X+1 0 1 0 1 X+1 X X 1 1 X+1 X 0 X 1 X+1 X+1 1 X+1 1 0 0 0 1 0 0 0 1 1 1 1 1 0 X 1 0 1 0 X+1 X 0 0 X+1 1 X+1 X+1 1 X 1 1 0 1 X X X X 0 X+1 X+1 X+1 X+1 X+1 0 1 1 0 0 X+1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 1 X X 1 X X+1 X+1 X+1 0 X+1 0 0 X+1 1 1 1 X+1 X+1 X X+1 0 1 0 0 X X+1 X X 1 1 X 0 1 X+1 1 X X+1 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 X 0 1 1 X+1 1 1 X X X+1 1 0 0 X+1 0 X X 1 X+1 0 X X X+1 X 0 1 X+1 X+1 X X+1 1 0 X+1 X 1 1 X+1 1 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 X 0 X 0 0 X X X X 0 X X 0 X X X 0 X X X X 0 0 0 X X X 0 X X 0 X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 0 X 0 X X 0 X X 0 X X 0 0 X 0 X 0 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 0 0 0 0 0 0 X X X X X X X X 0 0 X X X 0 0 X 0 0 X X X X X X 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 0 X 0 0 0 X X X X X X 0 X X 0 0 0 X 0 0 X 0 X 0 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 X X 0 0 X X X 0 0 0 X X X X X X 0 0 0 X X 0 0 X 0 X 0 X X 0 0 X 0 X 0 X 0 0 0 X X X 0 generates a code of length 52 over Z2[X]/(X^2) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+46x^38+98x^39+181x^40+330x^41+523x^42+644x^43+838x^44+1036x^45+1235x^46+1482x^47+1805x^48+2106x^49+2226x^50+2428x^51+2477x^52+2450x^53+2392x^54+2248x^55+1976x^56+1558x^57+1303x^58+1044x^59+712x^60+584x^61+363x^62+218x^63+176x^64+118x^65+92x^66+28x^67+21x^68+10x^69+12x^70+2x^71+5x^72 The gray image is a linear code over GF(2) with n=104, k=15 and d=38. This code was found by Heurico 1.16 in 95 seconds.