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 X X 1 X X X 1 X X X X X X 0 1 1 X X 1 1 1 1 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 X 0 X 0 X X X X 0 X 0 X 0 X 0 0 X X 0 0 X 0 X 0 X X 0 X 0 0 X 0 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 X 0 X 0 0 0 X X X 0 0 0 X 0 0 0 X 0 X 0 X X 0 0 X X X 0 0 0 X X 0 X 0 0 X 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 X X 0 X X 0 0 0 X 0 0 0 X 0 X X 0 0 0 X X 0 X X 0 0 X 0 X X 0 X X X 0 X 0 X X X 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 0 0 0 0 X X X X 0 0 0 X X 0 0 0 0 X X 0 X 0 0 0 X 0 X X 0 0 X X 0 0 X 0 X X X 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 0 X X 0 0 0 0 0 0 X X 0 0 0 0 X 0 X X X X 0 X X X 0 0 X 0 X 0 X 0 X X 0 X 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 0 0 0 X X 0 0 X X 0 0 X X 0 0 X 0 X X 0 0 X X X X X 0 0 0 X 0 0 0 0 X 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 X X X 0 X 0 X X X 0 0 X 0 X X 0 X 0 0 X X X 0 0 X X X X 0 0 0 0 X X X 0 X 0 0 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 X 0 X X X 0 X X X 0 X X X 0 X X 0 X 0 0 0 X 0 X X 0 0 X 0 X 0 0 X X 0 X 0 X 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 0 0 X X 0 X X X X 0 0 X X X 0 X 0 X X X X X 0 0 X X X X X 0 X X X X X 0 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 X 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X X 0 0 0 0 X X 0 0 X 0 X 0 0 X 0 X X 0 X 0 0 generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+116x^52+299x^56+46x^58+425x^60+254x^62+705x^64+428x^66+708x^68+252x^70+445x^72+38x^74+222x^76+6x^78+110x^80+32x^84+7x^88+1x^92+1x^104 The gray image is a linear code over GF(2) with n=132, k=12 and d=52. This code was found by Heurico 1.16 in 4.18 seconds.