The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 1 1 1 X X 0 0 1 0 X 1 1 0 1 1 X 1 0 1 0 1 0 X 0 X X 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 X+1 X+1 X 1 1 1 X+1 1 1 X+1 1 X X X+1 0 1 1 0 X X+1 0 X 1 1 X 0 1 0 1 0 1 1 X 0 0 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X+1 X X+1 X X+1 1 X+1 1 0 X+1 X X 0 1 1 0 0 1 X 0 1 1 0 X 1 X+1 1 X 1 X X+1 1 X X+1 1 X 0 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 X+1 X 0 0 1 X+1 0 0 X+1 X+1 X X+1 0 X X+1 X+1 0 X 1 X 0 0 X X 1 X 1 0 1 0 1 1 1 X 0 1 X+1 0 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 1 X+1 X 0 X 1 0 1 0 0 X+1 1 X+1 X+1 X+1 X X X+1 X+1 X 1 X X+1 X+1 X 1 1 0 X+1 1 1 0 0 0 X X X 0 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X 1 X+1 0 X 0 1 X 0 X+1 1 X+1 1 X X+1 0 X X+1 1 X X X 0 1 X 0 0 X+1 0 0 1 X X+1 X+1 0 1 X+1 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 0 X 0 0 X X 0 0 X 0 X X 0 0 X X X X 0 X X X X 0 0 X X 0 X X 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 X X X 0 X X 0 X X 0 0 0 0 0 0 X X X 0 X X 0 0 0 0 X X X X 0 X X X 0 0 generates a code of length 52 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+86x^40+106x^41+321x^42+342x^43+487x^44+606x^45+645x^46+844x^47+915x^48+912x^49+1070x^50+1218x^51+1085x^52+1260x^53+1110x^54+1058x^55+1017x^56+944x^57+669x^58+516x^59+393x^60+236x^61+241x^62+106x^63+97x^64+30x^65+36x^66+12x^67+11x^68+2x^69+4x^70+3x^72+1x^80 The gray image is a linear code over GF(2) with n=104, k=14 and d=40. This code was found by Heurico 1.16 in 51.2 seconds.