The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  0  1  1  1  0  X  1  0  X  1  0  1  1  1  1  0  X  1  1  0  1  X  1  X  X  X  1  0  0  1  1  X  0  0  1  1  1  1
 0  1  0  1  0  1  1  0  X  1 X+1  1  1  0  1 X+1  0  X  1  0  1  0  1  1  1 X+1  X  0  X  1  0  1  0  X  1  1  0  X  1  X  0  1  1 X+1  1  1  X  X  X X+1  0
 0  0  1  1  1  0  1  0  1 X+1  X  0  1  1  1  X  0  1  X X+1 X+1  1 X+1  0  1  0 X+1  0  1  1  X X+1  1 X+1  X  X  1  1  1 X+1  1 X+1  X  1  1  0  1 X+1  1  0  0
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  0  X  X  X  X  X  0  0  X  X  X  X  0  X  0  X  X  X  0  0  X  0  0  X  X  0  X  0  X  X  0  0  0  0  0  0
 0  0  0  0  X  0  0  0  X  0  0  0  0  X  0  0  0  X  X  0  X  X  0  0  X  X  0  X  X  0  0  X  0  0  X  0  X  X  X  0  X  0  X  X  X  X  0  0  0  X  0
 0  0  0  0  0  X  0  0  0  0  X  0  0  0  0  X  X  X  X  X  X  0  X  0  X  X  0  X  0  X  0  0  0  0  0  X  X  X  0  X  0  X  X  X  0  0  X  0  X  0  0
 0  0  0  0  0  0  X  0  0  0  0  X  0  X  X  X  0  X  X  X  X  X  X  X  0  X  0  0  X  X  X  0  0  0  X  0  0  X  0  0  0  X  X  0  X  0  X  X  X  X  X
 0  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  0  X  X  X  0  X  X  0  0  X  0  0  0  X  0  X  X  0  0  0  0  0  0  0  X  0  X  X  0  0  0  X  X  0  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+27x^42+56x^43+91x^44+120x^45+131x^46+142x^47+142x^48+130x^49+146x^50+152x^51+152x^52+144x^53+108x^54+108x^55+86x^56+92x^57+69x^58+48x^59+29x^60+24x^61+25x^62+6x^63+11x^64+2x^65+6x^66

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 0.44 seconds.