The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 0 1 1 1 1 0 X 1 1 1 0 X 1 1 1 1 1 1 1 0 1 1 0 1 X 0 1 0 1 X 1 X 0 1 X 1 X 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 1 0 X+1 X 1 1 X+1 0 0 X+1 X+1 0 X 1 0 X+1 1 0 1 1 0 1 X+1 1 X X 1 1 0 X+1 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 X X X X X X X 0 X X X X X X X X 0 X 0 X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 0 0 0 X X X X 0 X 0 0 X X X X 0 X 0 0 X 0 X 0 X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X X 0 X X 0 X X X 0 X X X X X 0 0 X 0 0 X 0 0 X X 0 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X X 0 X X 0 X 0 0 0 0 0 0 0 X X X 0 X X 0 X 0 0 X 0 0 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 X X 0 0 X 0 X 0 X 0 X X X 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X X 0 X 0 X 0 X 0 0 X X X X 0 0 X 0 0 X 0 X X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X X 0 X X 0 X X 0 0 0 X X X 0 0 0 X X X X 0 0 0 0 0 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 0 X X X 0 0 0 X X 0 X X 0 X X X X X X X 0 0 0 X 0 X 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 X X X 0 X 0 X 0 0 X X X X 0 X X 0 X X X 0 X X X 0 0 X 0 0 X 0 0 0 generates a code of length 52 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+181x^40+106x^42+543x^44+462x^46+1094x^48+952x^50+1487x^52+988x^54+1122x^56+474x^58+504x^60+86x^62+157x^64+4x^66+25x^68+5x^72+1x^92 The gray image is a linear code over GF(2) with n=104, k=13 and d=40. This code was found by Heurico 1.16 in 8.55 seconds.