The generator matrix 1 0 0 0 0 0 1 1 1 X 1 1 X 1 0 0 1 1 0 X X 1 X 1 1 1 X 1 1 0 1 X 0 X 1 0 0 X X X 0 1 1 X 0 1 1 0 1 0 0 0 0 0 0 0 1 1 X+1 0 X+1 1 1 X+1 1 1 X 0 X 1 X X+1 0 1 X+1 1 1 0 1 X 1 1 X 0 1 0 1 1 X 0 1 X X+1 0 0 0 1 0 0 0 0 0 0 0 1 X+1 1 X 0 X+1 X+1 0 X 1 1 X+1 1 X+1 X X 0 1 X+1 1 1 X+1 X 1 X+1 0 1 0 1 X X X+1 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 0 X+1 X+1 1 1 X+1 1 0 X X+1 1 1 X X+1 1 1 0 0 X 0 X 0 1 1 X+1 1 X X+1 X X+1 X+1 1 1 X X 1 0 0 0 0 0 1 0 1 1 0 1 0 1 X+1 X X X+1 X X 1 X 1 1 0 X X+1 X X+1 X 1 0 0 X+1 1 0 0 1 1 1 X 1 X X 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 X X+1 X+1 1 1 X 0 X+1 0 X X X X+1 1 0 0 X+1 1 1 0 0 0 X+1 1 X X 0 X+1 1 0 0 0 X+1 X+1 X+1 1 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 X X X X X X X X X X X 0 X X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 0 X X 0 X X 0 0 X 0 X 0 0 0 X X X 0 0 X X 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X X X X X 0 X X 0 0 0 0 X 0 0 X X X 0 X 0 0 0 X X 0 0 0 X X X X 0 generates a code of length 47 over Z2[X]/(X^2) who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+86x^34+70x^35+307x^36+420x^37+671x^38+744x^39+1020x^40+1266x^41+1566x^42+1832x^43+2086x^44+2458x^45+2332x^46+2690x^47+2524x^48+2494x^49+2139x^50+2054x^51+1674x^52+1256x^53+1099x^54+684x^55+480x^56+254x^57+256x^58+108x^59+90x^60+42x^61+42x^62+10x^63+7x^64+2x^65+1x^66+3x^68 The gray image is a linear code over GF(2) with n=94, k=15 and d=34. This code was found by Heurico 1.16 in 82.7 seconds.