The generator matrix

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

generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+59x^42+182x^44+213x^46+282x^48+320x^50+314x^52+258x^54+184x^56+143x^58+38x^60+21x^62+13x^64+6x^66+10x^68+4x^70

The gray image is a linear code over GF(2) with n=102, k=11 and d=42.
This code was found by Heurico 1.16 in 97 seconds.