The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X 0 X 1 1 0 0 X 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 1 1 1 X X 0 1 0 1 X 1 1 0 1 X X 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X 1 X+1 1 1 X 0 X+1 1 0 1 1 X+1 0 0 X X X+1 0 0 1 1 X X 0 1 1 1 X X 1 0 X+1 X+1 1 X 1 X+1 1 0 X 1 1 X 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X X+1 0 1 0 1 0 X 0 1 1 X+1 X+1 1 1 X X+1 1 X 1 1 X X 1 X 1 X 0 0 1 0 X+1 X+1 X+1 1 1 1 0 1 X 1 X 0 1 X+1 1 X+1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X 0 X X X X 0 0 X X X 0 X 0 X X X 0 0 X 0 X 0 0 0 X X 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X 0 X X X X 0 0 X X 0 X 0 X 0 X X 0 0 X X 0 0 0 0 0 X X X X X 0 0 0 0 0 0 X 0 0 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X X X X 0 X 0 0 0 X 0 0 X 0 X X X X X 0 0 0 X 0 X 0 0 0 X 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 0 X X X X 0 X X X 0 X X X 0 X X X 0 X 0 X 0 X X 0 X 0 0 X 0 0 0 0 X X 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X X 0 X 0 0 X 0 0 0 0 X 0 X X X 0 0 0 X 0 X X 0 X X X X X X 0 X X X X 0 X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 X X X 0 0 X X X 0 0 X X X 0 0 0 X 0 X X 0 X 0 0 0 0 X 0 0 0 0 X 0 X 0 X X 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X X 0 0 X X 0 0 X 0 X X X X 0 X 0 0 0 X 0 0 X 0 0 X 0 0 X X X X 0 X 0 X X X X 0 0 X 0 X generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+23x^50+48x^51+126x^52+118x^53+236x^54+240x^55+278x^56+372x^57+376x^58+428x^59+495x^60+526x^61+565x^62+584x^63+542x^64+560x^65+433x^66+496x^67+366x^68+362x^69+286x^70+200x^71+172x^72+92x^73+102x^74+52x^75+51x^76+18x^77+17x^78+15x^80+10x^82+2x^84 The gray image is a linear code over GF(2) with n=126, k=13 and d=50. This code was found by Heurico 1.16 in 9.62 seconds.