The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X X 1 1 X X 1 1 1 X 1 0 0 X 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 X 1 X 1 1 X 1 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 1 0 0 X+1 X+1 1 0 X X+1 0 1 0 X 1 X X+1 X 1 0 1 X X+1 1 X 1 X 1 0 0 1 1 X+1 1 X+1 X+1 X X+1 0 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 1 1 X X 0 X 0 1 1 0 1 X+1 1 1 X+1 X X 1 X+1 X X+1 X 1 1 1 1 1 1 1 X X X+1 1 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 X+1 1 X X+1 X+1 1 0 X X+1 0 1 0 1 X 1 0 X 1 X X 1 X+1 0 1 0 X X+1 0 0 1 X X 1 X 1 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X 0 0 X 0 X X 0 0 0 0 X X X X X 0 X 0 0 0 X 0 0 0 X 0 X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 0 0 X X X X X 0 X 0 0 X X 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 0 0 X X X 0 X 0 X 0 X 0 0 X 0 0 X X 0 X 0 X X X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X X X X 0 0 0 X 0 X X 0 X X X 0 X 0 X 0 0 0 0 X 0 0 0 X X X 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 X X 0 0 X X X X X 0 0 X 0 0 0 0 0 X 0 X 0 0 X 0 X 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 0 0 X 0 X 0 0 0 X X X 0 0 X X 0 0 X X X 0 0 X 0 0 0 0 X 0 0 generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+47x^38+58x^39+185x^40+186x^41+393x^42+428x^43+543x^44+628x^45+773x^46+982x^47+946x^48+1140x^49+1167x^50+1196x^51+1202x^52+1298x^53+1029x^54+1046x^55+839x^56+674x^57+532x^58+324x^59+291x^60+152x^61+128x^62+58x^63+75x^64+16x^65+19x^66+4x^67+12x^68+2x^69+6x^70+2x^72+1x^74+1x^78 The gray image is a linear code over GF(2) with n=102, k=14 and d=38. This code was found by Heurico 1.16 in 47.4 seconds.