The generator matrix

1 0 0 0 0 0 0 1 1 1 X 1 1 0 1 1 0 0 1 1 0 1 1 X 1 1 1 0 X 1 0 X 0 1 X 0 X 0 1 1 1 X X 1 0 1 1 1 0 X 1 0 1 X 0 X 0 1 1 1 0 1 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 1 X+1 1 1 1 1 X+1 1 1 1 X 1 X 1 0 0 X X 1 1 X 0 X+1 0 1 X+1 1 1 1 1 X 1 1 0 X+1 X X 1 1 X+1 0 X X 1 0
0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X 0 X X 1 1 1 X+1 1 1 1 1 1 X+1 X+1 1 X+1 1 X X+1 X 0 1 1 1 X+1 X X 1 1 1 1 0 1 1 0 1 1 0
0 0 0 1 0 0 0 0 0 X X 1 1 1 1 X+1 1 1 X 0 X 0 X+1 1 X X+1 X+1 0 1 X 1 X 1 X+1 0 X 0 X X X+1 X+1 X X X X+1 X 1 X 1 0 X+1 0 X X 0 X+1 X+1 1 X X+1 X+1 1 0
0 0 0 0 1 0 0 1 X 1 1 0 X+1 1 0 1 0 1 X X 0 X+1 X+1 X+1 1 X+1 X X+1 X+1 1 1 X+1 X X 1 0 0 X X+1 1 0 X+1 X+1 X 1 1 1 X+1 X X X 0 1 0 1 1 X X+1 1 0 X+1 1 0
0 0 0 0 0 1 0 1 X+1 0 1 X X+1 1 1 0 1 X 1 0 X+1 X X X+1 X+1 X+1 1 0 1 1 0 0 0 1 1 X+1 1 X 0 X+1 1 X 1 X 1 X+1 X+1 1 X X 0 1 X X 0 0 X+1 1 1 X 0 1 0
0 0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 0 X X+1 0 0 X+1 X+1 0 X+1 1 1 X X+1 X+1 0 X 0 X X+1 1 X X+1 0 X+1 0 0 X 1 0 X 0 X+1 X+1 X X+1 0 1 X+1 0 X X X X+1 0 X+1 0 X+1 X+1 0

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+82x^50+102x^51+273x^52+344x^53+367x^54+452x^55+625x^56+728x^57+793x^58+908x^59+962x^60+1052x^61+1016x^62+1046x^63+974x^64+1050x^65+982x^66+916x^67+776x^68+716x^69+619x^70+474x^71+394x^72+228x^73+206x^74+122x^75+81x^76+40x^77+25x^78+12x^79+10x^80+2x^81+5x^82+1x^102

The gray image is a linear code over GF(2) with n=126, k=14 and d=50.
This code was found by Heurico 1.10 in 10.9 seconds.