The generator matrix

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

generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+48x^53+43x^54+53x^56+32x^57+48x^61+19x^62+6x^64+1x^70+3x^72+1x^78+1x^80

The gray image is a linear code over GF(2) with n=114, k=8 and d=53.
This code was found by Heurico 1.16 in 7.67 seconds.