The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 0 1 X 1 0 1 1 1 1 1 0 X 1 0 1 1 0 1 0 1 1 0 1 X 1 1 1 1 X 1 X 1 0 1 X 1 X 1 0 1 1 1 1 X 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 0 1 X+1 X+1 1 0 1 X 1 0 X+1 X+1 X+1 0 1 1 X+1 1 0 0 1 0 1 X X 1 X+1 1 X+1 X+1 X+1 X 1 1 1 1 X 0 1 1 1 X 1 0 1 1 X+1 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X 0 X 0 X X X 0 X 0 0 0 0 X 0 X X X X 0 X X X X X X 0 0 0 0 X X 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X X 0 0 0 X X 0 0 X 0 0 0 X X X 0 X 0 X X X 0 0 X 0 0 X 0 X 0 X 0 X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X X X 0 X 0 X X 0 0 X 0 X X 0 0 X 0 X 0 0 0 X 0 0 X X 0 0 X 0 X X 0 X 0 0 0 0 X X 0 X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X 0 X 0 X X X X 0 X X X X 0 X 0 0 0 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X 0 0 0 X X 0 X 0 0 0 X X 0 X X 0 0 X X X 0 X 0 X 0 X 0 0 0 X X 0 0 X X 0 X 0 0 X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X X X X 0 X 0 0 X 0 0 X 0 X 0 0 X 0 X 0 X X X 0 0 0 X 0 0 X 0 X 0 X X 0 X 0 0 0 X X X X X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X X X X X X X X X 0 0 X X X X X 0 X 0 X 0 0 0 X 0 X X X 0 X 0 0 0 X 0 X X X X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X X 0 X X 0 0 X X X X 0 X X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 0 X X X X 0 0 X X 0 0 0 X X X X 0 0 X 0 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+71x^52+56x^54+285x^56+200x^58+507x^60+380x^62+615x^64+456x^66+529x^68+328x^70+332x^72+112x^74+155x^76+4x^78+44x^80+16x^84+3x^88+2x^92 The gray image is a linear code over GF(2) with n=130, k=12 and d=52. This code was found by Heurico 1.16 in 3.01 seconds.