The generator matrix

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

generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+248x^40+654x^42+1244x^44+1632x^46+2095x^48+2272x^50+2361x^52+2124x^54+1715x^56+1162x^58+593x^60+212x^62+60x^64+8x^66+1x^68+1x^72+1x^92

The gray image is a linear code over GF(2) with n=102, k=14 and d=40.
This code was found by Heurico 1.16 in 52.7 seconds.