The generator matrix

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

generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+100x^54+42x^56+64x^58+12x^60+16x^62+9x^64+2x^66+8x^70+2x^74

The gray image is a linear code over GF(2) with n=114, k=8 and d=54.
This code was found by Heurico 1.16 in 0.484 seconds.