The generator matrix 1 0 0 0 0 0 1 1 1 1 1 0 X 0 1 X X 1 1 1 0 0 0 1 1 0 0 X 1 1 X 1 0 X 1 1 1 1 0 X 0 X 1 X X 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 X 1 X 0 0 X 0 X 0 X 0 1 1 0 1 X 1 X 1 1 1 1 X+1 0 1 0 0 0 1 X 0 X 1 0 1 X+1 X+1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 X X+1 0 1 X+1 1 1 0 1 X+1 1 0 0 1 X 1 X+1 1 X X 0 0 0 1 X X+1 1 1 0 1 X 1 0 1 X 0 X 0 1 1 1 X+1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 X+1 1 X+1 X+1 X 0 X+1 X X+1 X X 1 1 X X 1 X+1 0 0 X+1 0 X+1 0 X+1 X 1 0 X+1 X+1 0 1 0 1 0 0 X+1 X X+1 X+1 X+1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 X X+1 0 0 1 X+1 X+1 X 0 1 1 X+1 X X+1 1 X 0 X X X+1 1 X X+1 1 0 0 X X X 0 X X+1 X 1 X X 0 1 0 X X+1 X 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 X 1 0 X+1 X+1 X+1 X+1 1 X+1 X X+1 X X X+1 X X X 0 X 1 X 1 X+1 1 X 0 X+1 0 1 0 0 0 1 X X+1 X+1 X+1 X+1 X+1 0 0 X 1 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 X X X X X 0 X 0 X 0 0 X 0 0 0 X X 0 0 X X X 0 0 X X X 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X 0 0 X X 0 X X X 0 0 0 0 X X X X X 0 0 X X 0 X X 0 0 0 0 0 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X X X X X 0 0 X 0 X X X X X 0 0 0 0 0 0 X X 0 0 X 0 0 0 0 X X 0 X 0 0 0 0 X X 0 0 0 0 0 0 generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+26x^39+31x^40+62x^41+111x^42+164x^43+226x^44+248x^45+374x^46+534x^47+640x^48+706x^49+868x^50+1040x^51+1095x^52+1350x^53+1403x^54+1468x^55+1631x^56+1710x^57+1814x^58+1730x^59+1730x^60+1666x^61+1667x^62+1618x^63+1481x^64+1332x^65+1158x^66+984x^67+871x^68+762x^69+544x^70+454x^71+356x^72+296x^73+203x^74+142x^75+110x^76+54x^77+42x^78+28x^79+20x^80+6x^81+6x^82+4x^83+1x^86+1x^94 The gray image is a linear code over GF(2) with n=118, k=15 and d=39. This code was found by Heurico 1.16 in 98.8 seconds.