The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X X 0 X 1 1 1 1 X 0 1 1 1 1 1 0 0 0 1 1 X X 1 1 1 X 1 1 1 1 0 1 0 X X 1 1 1 1 0 1 X 0 0 1 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X X+1 1 1 1 0 X 0 X 0 X+1 1 1 X+1 0 0 X+1 X 0 1 1 X X 1 X 0 0 1 X 1 0 X X+1 1 X+1 X 1 1 1 X+1 X+1 X+1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X 0 X+1 X X+1 1 1 X+1 X+1 0 0 1 0 1 1 1 X+1 X 1 X+1 0 0 X X+1 1 X+1 0 0 1 X+1 X X X 0 X 1 1 X 1 X+1 X 1 0 X+1 X X+1 0 X+1 X+1 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 0 0 0 X X X X X 0 0 0 0 0 X X 0 X 0 X X 0 0 X 0 0 X 0 X X 0 0 0 X X X X 0 0 0 X X 0 X 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 0 X X X 0 X 0 X 0 0 X X 0 X 0 X X 0 X X 0 0 X X X 0 0 0 0 0 X X X X X X 0 0 X 0 X 0 X X 0 X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X 0 X X X X X X X X 0 0 X X 0 0 X X X X X X X X 0 0 0 X 0 0 0 0 X X 0 X X X 0 X 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 X X 0 0 X X 0 X X 0 0 X X 0 0 X 0 X X X 0 X X 0 0 X X 0 X 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 0 X X X 0 0 X X 0 X X X 0 X X X X 0 X 0 X X X 0 X X 0 0 0 X X X X 0 X 0 0 X X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 0 X X X X 0 0 0 0 0 X 0 X X 0 X X X 0 0 X X 0 0 X X X 0 X X 0 X 0 0 X X X X 0 X X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X 0 0 X X 0 X X 0 0 0 0 X X 0 X X 0 0 X 0 X 0 0 X 0 X X X 0 0 X 0 X X 0 0 0 0 X 0 X X 0 X 0 0 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+133x^52+232x^54+617x^56+630x^58+989x^60+932x^62+1175x^64+940x^66+1004x^68+624x^70+494x^72+206x^74+150x^76+20x^78+32x^80+11x^84+1x^88+1x^92 The gray image is a linear code over GF(2) with n=128, k=13 and d=52. This code was found by Heurico 1.16 in 10.3 seconds.