The generator matrix 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 X 0 X 0 1 1 1 1 0 1 1 0 1 1 0 1 1 X 1 X X 1 1 0 X 1 X 1 0 0 1 1 0 0 X X 1 0 1 X X 1 1 0 1 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 1 1 1 1 X+1 1 1 1 1 X+1 X+1 1 0 1 1 1 1 1 0 X 1 1 X X X+1 1 X X 0 X 0 0 0 1 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 1 1 X 1 X+1 0 1 0 X X+1 X X 0 1 X 1 0 X+1 X+1 X+1 X+1 X 0 X X+1 X+1 X X 0 X+1 0 0 1 1 0 X+1 X 1 0 0 0 0 0 1 0 0 0 0 0 1 1 X 0 1 X 0 X+1 X+1 1 1 X+1 0 1 1 X X+1 1 X X X+1 X 1 0 1 1 0 1 X X+1 X X+1 X+1 0 X X 0 X 1 X X 1 X 0 1 0 X X 0 0 0 0 0 1 0 0 0 1 0 X 1 X+1 0 0 X X+1 X+1 X+1 1 X X 1 1 0 X+1 0 X 1 X 1 X+1 X+1 1 0 1 X+1 0 1 1 0 0 X X+1 1 X 0 0 1 1 X+1 0 X 0 1 X 1 0 0 0 0 0 0 1 0 0 1 X X+1 X X+1 1 X+1 X+1 X X+1 X X+1 X+1 0 0 X+1 0 1 0 1 0 1 X+1 0 X+1 1 0 1 0 1 1 1 0 1 0 X X 1 1 1 X 1 X 1 1 1 X+1 X X 0 0 0 0 0 0 0 1 0 1 X+1 0 1 X 1 1 X X+1 0 X X 0 X+1 X+1 X+1 0 X+1 1 0 0 0 1 X+1 0 1 X+1 1 X 0 1 X+1 1 1 X+1 1 X+1 X X+1 0 0 1 1 1 0 0 X 1 X 0 0 0 0 0 0 0 0 1 X 1 X 1 X+1 1 1 1 1 X+1 X X 1 0 X 1 X X 0 X 0 1 X+1 1 X X+1 1 X+1 X+1 X+1 0 X X 0 0 0 X+1 0 1 0 X+1 1 X 0 0 X+1 1 X+1 0 0 generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 43. Homogenous weight enumerator: w(x)=1x^0+66x^43+174x^44+334x^45+508x^46+794x^47+1048x^48+1288x^49+1800x^50+2140x^51+2583x^52+3056x^53+3395x^54+3880x^55+4271x^56+4670x^57+4786x^58+4762x^59+4591x^60+4174x^61+3713x^62+3184x^63+2679x^64+2156x^65+1700x^66+1200x^67+837x^68+588x^69+402x^70+312x^71+183x^72+110x^73+74x^74+40x^75+15x^76+8x^77+5x^78+6x^79+2x^80+1x^86 The gray image is a linear code over GF(2) with n=116, k=16 and d=43. This code was found by Heurico 1.11 in 189 seconds.