The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X X 0 1 0 X 1 0 0 1 1 1 1 1 0 0 1 0 X 1 1 0 1 X 1 1 1 1 1 1 1 X X 1 0 1 0 0 1 0 0 0 1 1 1 0 0 1 X+1 1 0 1 1 X 0 0 1 1 1 0 X+1 X 1 1 0 1 1 X+1 0 1 1 X 0 X+1 1 X+1 X X+1 X 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 X 1 X+1 1 X 1 1 X X X X 0 0 1 1 1 1 1 1 X+1 1 1 0 X 0 X X 1 X+1 1 X X+1 1 X 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 X X 1 1 X+1 1 X+1 1 X+1 X+1 0 X+1 0 X 1 X X X 1 X 1 0 1 0 X X 0 1 0 1 1 1 0 X+1 X 1 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X 0 X X 0 X 0 X 0 X 0 X X 0 X 0 X X X 0 0 0 0 X 0 X X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X 0 X X 0 0 0 0 0 0 X X 0 X X X 0 X 0 X 0 X X 0 0 X 0 X X 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X X 0 0 X 0 X 0 X X X X X 0 0 0 X X X X X X 0 X X 0 0 0 X X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 0 0 0 X X 0 0 0 X X X 0 X 0 0 0 0 X X X 0 X 0 X X 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 X X X X 0 X X X 0 0 X X X 0 0 X 0 0 X X 0 0 0 0 0 X X 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 X 0 0 0 0 X X 0 0 0 X 0 X X 0 0 X X X X X X 0 X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X 0 0 0 X X X 0 X 0 X X 0 X X 0 X X 0 X X X 0 X 0 0 0 0 X 0 X 0 generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 37. Homogenous weight enumerator: w(x)=1x^0+24x^37+109x^38+160x^39+337x^40+404x^41+620x^42+730x^43+1020x^44+1208x^45+1543x^46+1852x^47+2032x^48+2434x^49+2416x^50+2638x^51+2564x^52+2498x^53+2217x^54+1976x^55+1578x^56+1240x^57+980x^58+710x^59+532x^60+332x^61+253x^62+108x^63+111x^64+50x^65+48x^66+18x^67+12x^68+2x^69+6x^70+5x^72 The gray image is a linear code over GF(2) with n=102, k=15 and d=37. This code was found by Heurico 1.16 in 100 seconds.