The generator matrix

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

generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+79x^50+166x^52+178x^54+163x^56+132x^58+84x^60+71x^62+61x^64+37x^66+30x^68+14x^70+7x^72+1x^78

The gray image is a linear code over GF(2) with n=114, k=10 and d=50.
This code was found by Heurico 1.16 in 0.15 seconds.