The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 X X X 1 1 1 1 1 X 1 X X X X 1 X 1 X 1 X 1 X 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 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 X X X 0 X X X 0 X 0 X X X X X 0 0 0 X 0 0 0 0 0 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 X 0 0 0 0 X 0 0 X X X X 0 X X X X 0 X 0 X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X 0 X X X 0 0 X 0 X X X 0 X 0 X 0 X X X 0 0 X X 0 0 X X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X 0 0 X X X X X 0 0 0 0 0 0 X X 0 X X 0 X 0 0 X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X 0 0 X 0 X X 0 X 0 X X X 0 0 X X X X X X X X X 0 X 0 X X X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 X X X 0 X 0 X 0 X X X 0 X X X 0 X 0 0 0 X 0 X 0 0 0 0 X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X 0 X 0 X X 0 0 0 0 X X 0 X 0 0 0 X X X X X 0 0 0 X 0 X 0 X X 0 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X X X 0 X X 0 X X X 0 0 0 X X 0 X X 0 0 X 0 0 X 0 0 X X X 0 0 X 0 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 X X 0 X 0 0 X 0 X X 0 X X X X X 0 X 0 X X X 0 X X X 0 0 X X 0 X X X X X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 X 0 0 X 0 X 0 X 0 X X 0 0 0 X 0 X 0 X X X X 0 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 0 0 X 0 0 X X 0 X 0 X 0 X 0 0 0 0 X X X X 0 X X X X 0 0 0 0 0 X X 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X X X 0 X X X X X X 0 0 0 X X X X X X X X 0 0 X 0 X 0 X X X X 0 X X 0 0 X 0 0 generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+175x^44+589x^48+14x^50+976x^52+280x^54+1939x^56+1302x^58+3255x^60+1696x^62+2838x^64+730x^66+1450x^68+72x^70+690x^72+2x^74+271x^76+83x^80+14x^84+3x^88+3x^92+1x^96 The gray image is a linear code over GF(2) with n=122, k=14 and d=44. This code was found by Heurico 1.16 in 54.5 seconds.