The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X X 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X 0 X 0 0 X X X X X X X X 0 X X 0 X X 0 X X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 X 0 0 X X 0 X 0 X X X X X 0 0 X X 0 X 0 X X X 0 0 X X 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 0 X 0 0 X X X 0 X X X 0 0 0 0 X X 0 X 0 0 X X X X X X X X 0 0 0 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 0 X X 0 X 0 0 X 0 X X X 0 X X 0 X X 0 0 0 X 0 X 0 X 0 0 0 0 X X X X 0 0 0 0 0 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 X 0 X X X 0 0 0 X X X X X 0 X 0 0 X 0 0 0 X 0 X 0 X X 0 X X X 0 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X X X 0 X 0 0 X 0 X 0 0 X 0 X 0 X X 0 X X X X 0 X X 0 0 X X X 0 0 X X 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 X 0 X 0 X 0 0 0 0 0 X X 0 0 X X X 0 0 0 X 0 0 X X X 0 0 X 0 0 X X X 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 0 X X X 0 X X X 0 X 0 X 0 X 0 X X 0 0 0 0 X X 0 0 0 0 0 X X X 0 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 X 0 0 0 0 X X X 0 0 X X X 0 0 0 0 0 X X X 0 X X 0 X X 0 X X 0 0 X X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X X 0 0 X 0 X X 0 0 X X 0 X 0 X X X 0 0 X 0 X 0 0 X 0 X 0 0 X X 0 0 X 0 X 0 X 0 X X X X X 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X 0 X 0 X 0 0 0 0 0 X X X X 0 X 0 0 0 0 X 0 X 0 0 0 X X 0 X 0 X 0 X 0 X X X 0 0 0 0 X 0 X X generates a code of length 68 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+143x^52+387x^56+552x^60+891x^64+1024x^66+2201x^68+1024x^70+899x^72+555x^76+359x^80+132x^84+22x^88+1x^92+1x^128 The gray image is a linear code over GF(2) with n=136, k=13 and d=52. This code was found by Heurico 1.16 in 31.2 seconds.