The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 0 X 0 1 0 1 1 X 0 1 1 1 X 1 0 1 1 X 0 0 1 1 1 0 1 X 1 X X 1 1 1 1 1 X 0 0 X 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 0 1 1 0 0 1 X+1 X 1 1 0 X 0 X+1 X+1 1 1 1 X 1 0 0 1 X X 1 1 1 0 1 1 X 1 0 1 1 1 X X 0 0 0 1 1 1 1 1 X+1 X X X+1 X+1 1 0 0 0 X+1 1 X 1 0 0 0 1 1 1 0 1 0 1 X+1 X 1 X 1 1 0 1 X+1 0 1 0 1 1 X+1 1 X+1 X 1 0 1 0 0 X X+1 1 1 X+1 1 X X 1 1 X+1 1 0 X 1 X 0 X X+1 1 X 0 X X+1 1 1 X X+1 X 0 1 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 X 0 0 X 0 0 0 X X X X X 0 X X 0 0 X X X X 0 X X 0 X 0 0 X 0 X X 0 X 0 X X 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 X 0 X X X X 0 0 X 0 0 0 X X 0 0 0 0 0 X X X 0 X 0 0 X X 0 X 0 X 0 X 0 0 0 X X X 0 X X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X X X X 0 X 0 0 X X 0 X X X 0 X X X 0 X X X X X X X 0 X 0 X X X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X X 0 X X 0 0 0 X X 0 X X 0 X 0 0 0 X 0 0 X 0 X X X 0 X X 0 X X 0 X 0 X 0 X 0 X 0 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X 0 0 X 0 0 X X 0 X 0 X X 0 0 0 X 0 0 X X 0 X 0 X X 0 X 0 0 X X 0 X X 0 X X X X 0 X X X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 X 0 X X X 0 0 0 0 X X 0 X 0 X X X X X 0 X 0 X 0 X 0 0 0 0 X 0 X X 0 X X 0 0 X 0 X 0 X 0 X 0 0 0 generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+45x^54+50x^55+134x^56+152x^57+200x^58+196x^59+228x^60+242x^61+238x^62+284x^63+228x^64+244x^65+218x^66+236x^67+209x^68+248x^69+184x^70+206x^71+144x^72+116x^73+100x^74+48x^75+54x^76+22x^77+26x^78+4x^79+21x^80+10x^82+5x^84+3x^86 The gray image is a linear code over GF(2) with n=130, k=12 and d=54. This code was found by Heurico 1.16 in 2.61 seconds.