The generator matrix 1 0 0 0 0 0 0 0 1 1 1 X 1 1 X 0 1 0 X 1 X X 0 1 0 1 X 1 1 X 0 1 1 X 0 0 X 1 1 0 0 X 0 1 0 1 1 0 0 X 1 1 X 1 1 1 1 1 X 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 X+1 X 1 1 X 1 X 1 1 X+1 1 1 X+1 X 1 X+1 X+1 0 1 1 0 X 1 0 0 1 0 X+1 1 X+1 1 X 1 1 X 0 X X+1 X 0 1 1 1 0 0 0 0 1 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 1 X+1 1 1 X+1 1 1 1 1 1 1 X+1 X+1 1 X+1 X+1 1 1 X 1 X 1 1 X X+1 1 0 0 0 0 1 0 0 0 0 0 1 X 1 0 X+1 1 0 X 1 X+1 X+1 1 X 0 1 X+1 X X+1 X 1 1 1 0 1 X 1 X+1 X+1 1 X X X 1 0 0 X+1 1 0 0 X+1 0 X 1 0 X X+1 0 1 X 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 X 0 0 1 1 X 1 1 1 X+1 0 0 1 0 0 X+1 0 X X 0 1 X 1 X 0 1 X X+1 1 X+1 X 0 X 0 0 X+1 0 X X X+1 1 1 X+1 X+1 1 X+1 X+1 1 0 0 0 0 0 0 1 0 0 1 X 0 X+1 1 X+1 1 X+1 X X 0 X X 1 1 X+1 0 1 X+1 X X 1 X 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 X+1 1 X X+1 X+1 X 1 X X+1 X 0 0 0 0 0 0 0 1 0 1 X+1 X+1 1 X+1 X 1 X 0 1 X 1 1 1 1 1 1 1 X X+1 0 X+1 X+1 1 X+1 X 1 0 0 X X X+1 X+1 X+1 1 X+1 1 X+1 X+1 X X+1 1 X+1 X+1 X+1 1 1 X 1 0 X+1 0 0 0 0 0 0 0 0 0 1 X X 1 1 1 X+1 X+1 X+1 1 X+1 1 1 0 1 X 0 X X+1 X X 1 X 0 1 X X+1 X+1 X+1 0 1 1 X X X+1 1 X 0 1 0 1 1 X X+1 0 X X 1 X 0 0 0 1 0 generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+110x^46+174x^47+454x^48+498x^49+871x^50+1072x^51+1531x^52+1694x^53+2094x^54+2542x^55+3053x^56+3362x^57+3724x^58+4578x^59+4359x^60+4742x^61+4489x^62+4566x^63+3937x^64+3622x^65+3321x^66+2734x^67+2195x^68+1698x^69+1352x^70+802x^71+697x^72+446x^73+351x^74+158x^75+129x^76+58x^77+59x^78+12x^79+26x^80+8x^81+12x^82+2x^83+2x^84+1x^90 The gray image is a linear code over GF(2) with n=122, k=16 and d=46. This code was found by Heurico 1.11 in 198 seconds.