The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 1 0 1 0 1 0 1 1 1 X 1 0 X 1 1 1 X X X 1 1 0 1 1 1 1 1 X X 0 X 0 X 0 1 1 1 0 1 1 1 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 1 X X+1 1 X 0 X+1 0 X 1 X+1 1 1 1 0 1 1 1 1 0 X+1 1 X 0 1 1 X 1 X X X 1 X 0 1 X 0 1 0 X X+1 0 1 0 X+1 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 X+1 1 0 0 1 1 0 0 X+1 X+1 1 X X+1 1 0 X 1 1 X 1 0 0 X+1 X X+1 1 X+1 X+1 1 1 1 X+1 1 1 X X X+1 0 1 0 1 X X+1 X+1 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 X X X 0 0 0 0 0 X 0 X 0 0 X 0 X X X X 0 0 X 0 X 0 0 0 X 0 0 0 X 0 0 0 X X 0 X 0 0 X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 X 0 X X 0 0 X 0 0 X X 0 X 0 X X X 0 X X X 0 X X 0 0 X X 0 0 0 0 0 X X X X 0 X 0 X 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X X 0 X X 0 X X 0 X X X X 0 0 0 0 X 0 X X X 0 0 0 X 0 X 0 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X X X X 0 0 X X X 0 0 X X X X 0 0 0 X X 0 X 0 X 0 0 0 0 X 0 0 0 0 X 0 X 0 X 0 0 X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 0 X X 0 0 X 0 X X X X X X 0 X X 0 0 0 0 X X 0 X 0 X X 0 0 0 0 0 X X X 0 0 X 0 0 X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X 0 X 0 X X X X 0 X X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X 0 X 0 X X X X X X 0 X 0 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 X X X 0 X X X 0 X 0 X 0 0 X 0 0 X 0 0 0 X 0 X X X X X 0 X 0 X 0 0 0 X 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 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 X X X X X X X X X X X X X X X X X X X X X X X 0 0 X 0 X X X 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+154x^52+208x^54+710x^56+698x^58+1462x^60+1622x^62+2295x^64+2120x^66+2279x^68+1580x^70+1550x^72+762x^74+541x^76+174x^78+172x^80+4x^82+39x^84+8x^88+5x^92 The gray image is a linear code over GF(2) with n=132, k=14 and d=52. This code was found by Heurico 1.16 in 42 seconds.