The generator matrix

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

generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+197x^48+428x^50+438x^52+472x^54+559x^56+536x^58+502x^60+382x^62+276x^64+194x^66+60x^68+34x^70+15x^72+2x^74

The gray image is a linear code over GF(2) with n=114, k=12 and d=48.
This code was found by Heurico 1.10 in 0.703 seconds.