The generator matrix

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

generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+67x^40+180x^42+324x^44+565x^46+762x^48+64x^49+962x^50+146x^51+1192x^52+380x^53+1219x^54+782x^55+1066x^56+1246x^57+851x^58+1822x^59+594x^60+2414x^61+443x^62+2660x^63+415x^64+2352x^65+567x^66+1912x^67+813x^68+1320x^69+1056x^70+710x^71+1222x^72+366x^73+1195x^74+150x^75+1053x^76+46x^77+747x^78+8x^79+513x^80+4x^81+327x^82+2x^83+151x^84+65x^86+17x^88+14x^90+1x^92+1x^94+1x^96

The gray image is a linear code over GF(2) with n=126, k=15 and d=40.
This code was found by Heurico 1.16 in 99.9 seconds.