The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 0 X 1 1 1 X 1 1 1 0 1 1 0 0 1 1 0 1 1 1 X X 1 0 1 X X X 1 0 0 0 0 1 0 X X X 0 0 1 X 0 0 X 1 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 X 1 1 1 X X X+1 1 1 X 1 X X X 0 X+1 1 X+1 0 1 X X 0 0 X 0 0 0 0 1 1 X+1 1 1 0 1 0 1 1 1 1 1 1 X+1 1 X 0 0 0 1 0 0 1 0 0 0 1 1 1 1 X 1 0 X+1 X+1 X+1 X 0 X X 1 1 0 X X+1 1 1 0 X X X+1 X+1 1 0 0 1 X+1 X 0 1 1 1 1 0 X+1 0 1 X+1 1 X+1 0 X+1 1 0 0 1 1 0 0 1 X+1 X 1 X+1 0 0 0 1 0 1 1 0 1 0 X+1 X+1 1 X X+1 1 X X+1 X X+1 X X 0 1 1 1 X 1 1 X+1 X+1 1 X+1 0 0 0 1 1 1 X X X 1 X 1 0 1 0 1 0 X 1 0 X 1 1 1 X+1 0 1 0 X X 1 0 0 0 0 1 1 0 1 1 X 0 X 1 X+1 0 X+1 X+1 1 0 X+1 X X+1 X+1 1 0 1 X+1 0 1 X+1 0 X 0 X+1 X+1 1 X+1 1 X X+1 X X 0 X 0 X X X X+1 0 1 0 1 0 0 X+1 1 X+1 0 0 X 0 X 1 0 0 0 0 0 X 0 0 0 X 0 X X 0 X X X 0 X 0 0 X 0 X 0 0 X 0 X 0 0 X 0 0 X X X X 0 X X 0 0 0 X X X 0 0 X X X X 0 0 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X 0 X X X 0 0 X 0 0 X X X 0 X X 0 0 X X X X X 0 0 X 0 X X 0 X X 0 X X X X 0 X X 0 0 0 0 0 0 0 X 0 0 X X X 0 0 X X X X 0 X X X X 0 X X X X 0 X 0 0 X X 0 X 0 X X X X 0 0 0 X X 0 X X X 0 X X X 0 0 X X 0 X 0 0 X 0 0 0 0 0 0 0 0 X X X 0 X X X X X 0 0 X X X 0 X 0 0 X 0 0 0 0 0 X X 0 X 0 X X 0 X X X 0 X X 0 0 X 0 0 0 0 0 0 0 0 X X 0 0 X X 0 generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+258x^52+604x^54+1109x^56+1418x^58+1818x^60+1920x^62+2080x^64+1974x^66+1912x^68+1456x^70+1011x^72+490x^74+217x^76+68x^78+39x^80+6x^82+2x^84+1x^108 The gray image is a linear code over GF(2) with n=128, k=14 and d=52. This code was found by Heurico 1.16 in 87.4 seconds.