The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 X X X 1 0 0 X 0 1 1 0 1 1 1 1 X 1 X 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 X 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 X+1 1 0 X 1 X 1 1 0 1 X 0 0 1 0 0 1 X 1 X+1 X 1 1 1 X+1 1 1 1 1 X+1 1 1 1 1 0 1 1 X+1 X 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 X X 1 1 0 1 1 X+1 X 1 X 0 0 1 X+1 1 1 0 X+1 0 0 0 0 X+1 X 0 0 X+1 1 1 X+1 X 0 1 1 X+1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 X X 1 0 X 1 X+1 1 0 X+1 1 0 1 X 1 X+1 X+1 X+1 0 0 X 1 0 1 X X+1 X X+1 X X+1 0 0 1 X+1 1 1 0 0 1 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X 0 X 0 X X X 0 0 X X 0 X 0 0 0 0 X X X X X 0 X 0 X X X 0 X 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 X 0 X 0 X 0 0 X X 0 X 0 X 0 X X X X 0 0 0 0 X 0 X 0 0 X X 0 X 0 X 0 0 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 0 X 0 X X X X 0 0 0 X 0 0 X 0 X 0 0 X 0 0 0 X 0 X X 0 X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 0 X 0 X 0 X 0 X 0 X X X X 0 0 X 0 X X X 0 0 0 X X X 0 0 0 X X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X 0 0 0 X 0 0 X X X X X 0 0 X X 0 0 0 0 0 X X X 0 X X X 0 X X 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X 0 X 0 X X X X 0 0 X X X 0 0 0 X 0 0 X X X 0 0 0 0 X X 0 X 0 X 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X 0 0 0 X X X X 0 0 X 0 X 0 0 X 0 X 0 0 X X X 0 0 0 0 X 0 X X 0 X 0 X 0 X 0 0 0 0 generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+49x^40+34x^41+65x^42+100x^43+213x^44+242x^45+415x^46+434x^47+595x^48+744x^49+936x^50+1192x^51+1362x^52+1494x^53+1611x^54+1802x^55+1902x^56+2102x^57+2010x^58+2098x^59+1994x^60+1916x^61+1708x^62+1568x^63+1246x^64+1132x^65+967x^66+748x^67+607x^68+422x^69+353x^70+226x^71+187x^72+84x^73+99x^74+22x^75+31x^76+22x^77+23x^78+2x^79+4x^80+3x^82+1x^84+2x^86 The gray image is a linear code over GF(2) with n=116, k=15 and d=40. This code was found by Heurico 1.16 in 99.7 seconds.