The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 X 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 X 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 1 1 X+1 0 1 X+1 0 1 0 X+1 1 X+1 X+1 1 0 1 X 0 1 X X+1 X X+1 X 1 0 1 0 X 1 1 0 0 1 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 X 0 X X X X X 0 0 0 0 0 X X 0 0 X 0 X 0 X 0 X X 0 X 0 0 0 0 0 0 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 X X X 0 X X 0 X X 0 0 X X X 0 X X X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 X X 0 0 X X 0 X 0 X X 0 0 X X X 0 X 0 0 X 0 X X 0 X X 0 0 X 0 X 0 0 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 0 X 0 0 0 X 0 X 0 X X 0 X X 0 X X 0 X X X 0 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 X 0 X 0 X 0 X X X X X 0 0 X 0 X X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 X X X 0 X X X X X 0 0 X 0 0 X X 0 X 0 0 0 X X 0 X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 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 0 X 0 X 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 X X 0 X 0 X X 0 0 0 0 X 0 0 X X X X X 0 0 0 X X X X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 0 X X 0 X 0 0 X X X 0 0 X X 0 0 0 X X X 0 0 X 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 X X 0 X 0 X 0 0 0 0 X X X X X 0 X 0 0 X 0 0 0 0 X X 0 X 0 X 0 X 0 generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+93x^36+6x^37+77x^38+32x^39+335x^40+132x^41+300x^42+294x^43+590x^44+564x^45+650x^46+970x^47+940x^48+1302x^49+1061x^50+1500x^51+1114x^52+1406x^53+1002x^54+980x^55+668x^56+576x^57+626x^58+286x^59+278x^60+104x^61+274x^62+34x^63+71x^64+6x^65+86x^66+5x^68+13x^70+1x^72+6x^74+1x^82 The gray image is a linear code over GF(2) with n=102, k=14 and d=36. This code was found by Heurico 1.16 in 29.5 seconds.