The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 1 1 0 X 0 X 1 1 X 1 1 1 1 1 0 0 X 1 0 1 1 1 1 X 1 1 X 0 0 1 1 1 0 0 1 0 1 X 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 1 1 X 1 X X+1 1 X+1 1 0 X+1 1 X 1 1 1 1 0 1 X+1 1 X X+1 X X 1 1 X+1 X 0 X 1 X X 1 1 1 1 0 1 X+1 1 X X X+1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X X+1 X+1 0 1 1 1 X X+1 1 X+1 X+1 X X 0 1 0 0 X+1 X 0 X+1 1 X 1 0 X X 1 X+1 1 0 X X+1 1 1 0 1 1 X X+1 X 0 X 0 X X X X+1 0 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 X+1 0 X 0 X+1 X+1 1 X X+1 0 1 0 1 0 1 X+1 0 0 X X X X+1 1 0 X X+1 1 0 0 1 1 X+1 X+1 X+1 X 0 X X X X 1 X X+1 1 X+1 X+1 X X+1 X X+1 0 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 1 X X+1 0 X 1 X 1 0 X+1 X 0 1 X 0 1 X+1 1 0 1 1 1 X+1 1 X X+1 X X+1 1 X+1 0 X+1 0 1 X X X X+1 X+1 0 X 1 0 X 1 X+1 0 X+1 0 X+1 0 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X X+1 1 0 0 X+1 X 1 X+1 0 1 1 0 1 X+1 X+1 X+1 X 0 X 0 X 1 X+1 1 0 X X 1 X X 1 0 X+1 X 1 X X X 0 X X 1 X+1 1 X+1 0 X 1 X 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 X 0 X X 0 X X 0 X X X X 0 0 X X X 0 0 0 X X X 0 X X 0 X 0 X 0 X X 0 X 0 X 0 0 0 X 0 0 X 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 0 0 X X X X X X 0 0 0 0 0 X 0 X X X 0 X 0 0 0 X X 0 0 X 0 X 0 X X X 0 X X X X 0 generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+100x^52+114x^53+259x^54+316x^55+479x^56+498x^57+623x^58+706x^59+762x^60+858x^61+876x^62+1022x^63+970x^64+1158x^65+975x^66+1052x^67+957x^68+896x^69+818x^70+694x^71+579x^72+456x^73+434x^74+248x^75+210x^76+108x^77+102x^78+56x^79+35x^80+8x^81+7x^82+2x^83+3x^84+1x^86+1x^106 The gray image is a linear code over GF(2) with n=130, k=14 and d=52. This code was found by Heurico 1.16 in 70.3 seconds.