The generator matrix 1 0 0 0 0 0 0 0 1 1 1 X 1 1 X 0 0 X X 0 1 X 1 1 1 1 1 1 X 0 1 X 1 X 1 0 1 X 1 X 1 X X 1 X 0 1 1 0 1 1 0 0 X 0 1 1 0 1 X 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 X 1 X X X+1 X 0 X+1 1 1 0 X X+1 1 X 1 X 1 X 1 X+1 1 1 0 0 1 X X 0 0 1 X 1 1 1 X+1 X+1 1 X 0 X+1 1 0 0 0 1 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 1 1 1 X+1 X+1 1 X+1 1 X+1 1 1 1 X+1 X 1 1 X+1 X X+1 X+1 X+1 1 X+1 X X+1 1 1 1 X 0 0 0 1 0 0 0 0 0 1 X 1 0 X+1 1 0 X X+1 X 1 X+1 0 1 X 1 X+1 1 X+1 X+1 1 0 1 1 1 X 0 X X X+1 X X+1 X+1 X+1 0 1 0 0 1 0 1 0 1 X 0 1 0 1 X X+1 1 X+1 X+1 0 0 0 0 0 1 0 0 0 1 0 1 1 X 0 0 1 X+1 1 X 0 X+1 X X 1 0 1 X 1 0 1 1 0 0 X 0 1 0 0 1 1 X X 0 X+1 X+1 X+1 X+1 1 0 X+1 X X+1 X X X 1 0 X 1 X X+1 0 0 0 0 0 0 0 1 0 0 1 X 0 X+1 1 X+1 1 X+1 X X X 1 X X+1 X 0 0 1 X+1 X+1 0 1 X+1 1 1 X X+1 X 1 0 0 X 1 X+1 X X+1 X 1 X+1 0 1 X 0 X+1 X 1 X+1 1 1 X+1 1 X+1 0 0 1 0 0 0 0 0 0 1 0 1 X+1 X+1 1 X+1 X 1 X 1 X X+1 0 X X+1 X X X 1 0 0 0 X+1 X 1 1 1 1 X X X+1 0 0 X+1 0 X+1 1 X X+1 0 1 X X+1 X+1 X+1 0 0 X+1 X 0 X+1 X X X 1 0 0 0 0 0 0 0 0 1 X X 1 1 1 X+1 X+1 X+1 0 1 X+1 X X 0 X+1 X 0 1 0 X+1 X+1 0 1 0 X+1 X X+1 1 0 0 X+1 X X+1 1 0 X 1 1 0 X+1 X X+1 X 0 X X X X X X+1 X+1 X 1 X+1 0 generates a code of length 63 over Z2[X]/(X^2) who�s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+113x^48+192x^49+397x^50+554x^51+778x^52+1112x^53+1459x^54+1776x^55+2108x^56+2584x^57+2972x^58+3596x^59+3919x^60+4152x^61+4542x^62+4492x^63+4516x^64+4436x^65+4105x^66+3764x^67+3182x^68+2760x^69+2187x^70+1708x^71+1315x^72+940x^73+666x^74+416x^75+271x^76+180x^77+160x^78+72x^79+50x^80+24x^81+20x^82+6x^83+2x^84+4x^85+4x^86+1x^88 The gray image is a linear code over GF(2) with n=126, k=16 and d=48. This code was found by Heurico 1.11 in 205 seconds.