The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 X X X 1 1 1 0 1 X 1 1 0 X 1 1 X 0 1 0 1 0 X 1 0 1 X 1 X 1 1 X 1 X 1 X 1 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 X X 1 0 1 X+1 X+1 1 X 0 1 0 X X 1 X+1 1 0 X+1 X X 1 0 X 0 1 1 1 X 0 1 X+1 1 1 X+1 1 X X+1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 X+1 X X+1 0 1 X 1 1 X X 1 X 1 0 1 X+1 1 X 1 0 X X 1 X 0 X X X X 0 0 X+1 X+1 X+1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 X 1 X+1 X X X+1 1 0 1 1 1 X+1 X 1 X 0 0 1 X X+1 X+1 1 0 X X+1 X X+1 X+1 0 1 1 1 0 0 X X X+1 0 1 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X 0 0 X 0 X X X 0 0 X X X 0 X X X 0 0 0 X X X X 0 X X X X X 0 X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X 0 X X 0 0 X 0 0 X X X 0 X X X 0 X X 0 0 X 0 0 0 X 0 X X 0 0 X 0 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 0 X X X X 0 X 0 X 0 X X 0 0 0 X 0 0 X X 0 X X 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X X 0 0 X 0 X X 0 X X X 0 X X 0 X X 0 0 0 X X 0 0 0 X 0 0 X 0 X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X 0 0 X X 0 0 0 X 0 X 0 X X 0 0 X 0 X 0 0 0 X X 0 X X 0 X 0 X X 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 0 0 0 X X X X X 0 X X X X X 0 0 0 X 0 0 0 X X X 0 0 0 X 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X 0 X X X 0 X X X 0 0 0 0 X 0 X X X X X X X 0 0 X 0 X 0 X 0 X 0 X X 0 X X X 0 0 0 0 0 generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+57x^40+46x^41+100x^42+94x^43+151x^44+218x^45+316x^46+390x^47+565x^48+640x^49+778x^50+1010x^51+1150x^52+1324x^53+1416x^54+1684x^55+1700x^56+1828x^57+1960x^58+1898x^59+1867x^60+1874x^61+1829x^62+1600x^63+1452x^64+1386x^65+1117x^66+1022x^67+780x^68+648x^69+452x^70+380x^71+357x^72+194x^73+182x^74+104x^75+96x^76+32x^77+33x^78+10x^79+12x^80+2x^81+7x^82+4x^84+2x^86 The gray image is a linear code over GF(2) with n=118, k=15 and d=40. This code was found by Heurico 1.16 in 98.1 seconds.