The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 0 1 1 1 1 0 1 X 1 1 0 X 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 X 1 1 1 1 X X 1 1 X 1 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 0 1 X+1 X 1 1 X+1 0 0 X+1 X+1 0 X 1 1 1 1 X 1 X+1 1 X+1 1 X+1 0 1 1 X+1 X 0 1 1 1 X 0 X+1 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 X 0 X 0 X 0 X X X X X X 0 X X X 0 0 X X 0 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 0 X 0 X 0 X X X 0 X X X X X 0 X 0 0 0 X 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 0 0 X 0 X X X 0 X X X 0 0 0 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X X X 0 X 0 X 0 0 0 0 0 0 0 X X X X 0 X X X 0 X 0 0 0 X 0 0 0 X 0 X X 0 0 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 0 X 0 0 X X X 0 X X 0 X X 0 X X X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X X 0 X X 0 0 X 0 0 X X X X 0 0 X 0 X 0 X X 0 X 0 X 0 0 0 X 0 0 0 X 0 0 0 0 0 X 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 X X X 0 0 X X X X X 0 0 X 0 X X 0 X X X 0 X 0 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 0 X X 0 X 0 0 X X X X 0 X X 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 X X 0 X X 0 X 0 0 X X X X 0 X X X X 0 0 0 0 0 X X 0 X 0 X X 0 0 0 0 X X X 0 generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+129x^44+34x^46+452x^48+386x^50+937x^52+836x^54+1422x^56+1044x^58+1246x^60+602x^62+623x^64+170x^66+231x^68+62x^72+16x^76+1x^92 The gray image is a linear code over GF(2) with n=114, k=13 and d=44. This code was found by Heurico 1.16 in 9.63 seconds.