The generator matrix

 1  0  1  1  1  0  1  1  X  1 X^2+X  1  1  1  0  1  1 X^2  1  1  X  1  1 X^2+X X^2+X  1 X^2 X^2+X X^2  1  1  1 X^2+X  1  1  0  1  1  1  1  1 X^2+X  1  X  1  1  1  1  1 X^2  X  1  X  X  1  X X^2  1  X  X  X  0  1
 0  1  1  0 X+1  1  X X^2+X+1  1 X^2+X  1 X^2+1  0 X+1  1 X^2 X^2+X+1  1  X X^2+1  1 X^2+X  1  1  1  0  1  1  1 X+1  1 X^2  1  X X^2  1 X^2+X X^2+1 X^2+X+1 X+1 X^2+X  1  X  1  1 X^2  0 X^2 X^2+1  1  1  1  0  0 X^2+X+1  1  X  0 X^2  X  1  1  0
 0  0  X X^2+X  0 X^2+X  X X^2+X  X  0 X^2  0 X^2  0  0  X  X X^2+X  X  0  X X^2  X X^2  0  0  X  X  X  0  X X^2+X X^2 X^2+X X^2+X X^2  0  0  X  0  X X^2 X^2+X  X  X  0 X^2  X X^2  X  0 X^2  X X^2+X  0 X^2+X  X X^2+X  X  X X^2+X  0  0
 0  0  0 X^2  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0
 0  0  0  0 X^2  0  0  0  0  0  0 X^2  0 X^2  0  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0
 0  0  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0
 0  0  0  0  0  0 X^2  0  0  0  0  0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2  0  0  0 X^2  0  0  0
 0  0  0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0
 0  0  0  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0  0

generates a code of length 63 over Z2[X]/(X^3) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+55x^52+68x^53+172x^54+190x^55+524x^56+424x^57+972x^58+730x^59+1519x^60+1056x^61+1902x^62+1210x^63+1909x^64+1092x^65+1553x^66+744x^67+921x^68+360x^69+433x^70+166x^71+156x^72+68x^73+58x^74+30x^75+33x^76+4x^77+20x^78+2x^79+2x^80+9x^82+1x^86

The gray image is a linear code over GF(2) with n=252, k=14 and d=104.
This code was found by Heurico 1.16 in 14.6 seconds.