The generator matrix

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

generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+46x^43+110x^44+136x^45+161x^46+144x^47+134x^48+146x^49+146x^50+136x^51+124x^52+118x^53+122x^54+112x^55+88x^56+94x^57+54x^58+66x^59+46x^60+18x^61+27x^62+8x^63+9x^64+2x^70

The gray image is a linear code over GF(2) with n=102, k=11 and d=43.
This code was found by Heurico 1.16 in 0.418 seconds.