The generator matrix 1 0 0 0 0 0 1 1 1 1 1 0 X 1 1 1 0 1 X 1 0 X 0 1 1 0 1 X 0 1 X 0 0 X X 1 X 0 0 1 1 X 0 1 X 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 X+1 1 1 1 X X 1 0 1 1 0 1 X 1 0 X+1 X X X 1 X 1 1 X 1 1 0 0 X X X X 1 X 1 1 X 0 X 0 1 X+1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 X 0 1 0 X+1 X+1 1 X 1 X+1 1 X X+1 1 1 1 X 1 X 0 X+1 1 1 1 1 1 1 1 X 0 X X+1 0 0 0 0 1 X+1 1 X X+1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 X+1 X X+1 X+1 0 X+1 X 0 X+1 0 X+1 X 1 1 1 1 X+1 0 0 0 1 1 X+1 X+1 X 1 1 1 X+1 X+1 1 X+1 1 X X 1 X X X+1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 X+1 1 1 0 X+1 X X+1 0 X X+1 X 0 1 X+1 X+1 1 X+1 X+1 0 X+1 X X+1 X+1 1 X 1 X+1 X X+1 1 0 1 X+1 X X X X+1 1 X X X 0 X 0 0 0 0 0 0 0 0 0 0 1 1 1 0 X 0 X+1 1 X X+1 0 1 X+1 X X 0 1 0 0 X+1 0 0 X+1 X 1 X+1 X 1 X X+1 X 1 X X+1 X+1 1 X+1 X X X+1 X X+1 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 X X X 0 0 X 0 X 0 X 0 X X 0 X X 0 0 X 0 0 0 0 0 X 0 X 0 X 0 0 X X X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 X X 0 X X X X 0 X X 0 0 0 0 0 X 0 X X 0 0 X 0 0 X X 0 0 0 X X X 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X 0 0 X X X 0 0 0 0 0 X 0 X X 0 X 0 0 0 0 X X 0 X X X X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+38x^39+70x^40+112x^41+143x^42+240x^43+325x^44+400x^45+554x^46+712x^47+807x^48+886x^49+1216x^50+1370x^51+1450x^52+1616x^53+1707x^54+1878x^55+1873x^56+1956x^57+1931x^58+1712x^59+1791x^60+1634x^61+1456x^62+1426x^63+1174x^64+1046x^65+843x^66+550x^67+528x^68+424x^69+263x^70+232x^71+145x^72+108x^73+66x^74+32x^75+26x^76+6x^77+12x^78+2x^79+2x^80+4x^81+1x^82 The gray image is a linear code over GF(2) with n=114, k=15 and d=39. This code was found by Heurico 1.16 in 100 seconds.