The generator matrix

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

generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+16x^49+28x^50+32x^51+28x^52+16x^53+2x^54+2x^56+2x^62+1x^64

The gray image is a linear code over GF(2) with n=102, k=7 and d=49.
This code was found by Heurico 1.16 in 0.0853 seconds.