The generator matrix 1 0 0 0 0 0 0 1 1 1 1 X 1 1 1 X 0 1 1 0 0 X 0 X 0 0 1 X 1 1 0 1 1 1 X X 1 1 1 1 0 1 1 1 X 0 0 0 X 0 1 1 1 1 X 1 1 1 X 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 1 1 1 1 1 1 1 X+1 1 X+1 X+1 1 0 X X 1 X 0 1 X+1 0 1 X+1 1 X+1 1 X 0 X 1 1 0 X+1 1 X X 0 X 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 X+1 X 0 X X+1 X+1 1 1 X 1 X X 0 X+1 1 X X+1 0 0 0 X 1 X 1 X 1 1 X X+1 1 0 0 X+1 1 X X X 1 0 0 0 0 0 1 0 0 0 0 1 0 1 1 X 0 1 X+1 X 0 1 X X X 1 1 X+1 X X X+1 1 X+1 0 X+1 X+1 X+1 X+1 X X X X X 0 1 X X X+1 1 1 X 1 0 X X+1 1 X+1 0 X+1 X+1 1 X X 0 0 0 0 0 1 0 0 0 1 1 X X+1 X 0 1 X X X+1 X 1 0 X+1 X X+1 0 X+1 X+1 X+1 X X+1 0 1 1 X 0 1 X+1 1 X 0 X+1 1 0 1 1 X+1 0 X X X 1 0 X 1 0 X+1 0 0 X X 0 0 0 0 0 0 1 0 1 0 X+1 1 X+1 X 1 0 X 1 1 X+1 X 0 0 1 X 1 X+1 0 0 X 1 X 0 X+1 X X X+1 X+1 X+1 X X+1 X+1 X X 0 X+1 0 X+1 0 X 1 0 X X X X X+1 1 X+1 1 1 X 0 0 0 0 0 0 1 1 X+1 X 0 1 1 X X X+1 1 1 X+1 X+1 1 0 1 X 0 0 X X+1 0 X 1 0 1 X+1 X X+1 X+1 X+1 1 0 0 X+1 X+1 X 0 X X+1 X+1 X+1 0 X+1 1 X 1 0 0 X 1 X+1 X 0 0 0 0 0 0 0 0 X X 0 0 X X 0 0 X X X X X X 0 X 0 0 0 0 X 0 0 X 0 0 0 X 0 0 0 0 X X 0 0 X X X 0 0 0 X 0 0 X X X 0 X 0 X 0 0 generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 47. Homogenous weight enumerator: w(x)=1x^0+44x^47+155x^48+260x^49+411x^50+570x^51+737x^52+936x^53+1186x^54+1300x^55+1518x^56+1712x^57+1887x^58+2144x^59+2205x^60+2348x^61+2254x^62+2176x^63+2080x^64+1846x^65+1676x^66+1390x^67+1095x^68+878x^69+600x^70+478x^71+360x^72+186x^73+151x^74+78x^75+35x^76+22x^77+23x^78+10x^79+6x^80+4x^81+3x^82+2x^83+1x^94 The gray image is a linear code over GF(2) with n=122, k=15 and d=47. This code was found by Heurico 1.11 in 48.3 seconds.