The generator matrix
1 0 0 1 1 1 X 1 1 X 1 X 1 0 1 1 1 0 1 X 1 1 0 X 1 1 X 1 1 0 1 1 0 0 1 1 1 1 X 1 1 X X 0 1 1 0 0 X X X 0 X X 0 0 0 1 X
0 1 0 0 1 X+1 1 X X+1 1 0 0 1 1 X 0 1 1 X+1 1 0 0 0 0 X+1 X 1 X 1 1 X X X X 1 1 1 1 1 X X 0 1 1 X+1 X+1 1 1 X X 1 X X 1 1 X 0 0 X
0 0 1 1 X+1 0 X+1 1 X+1 X X 1 X 1 1 1 X+1 0 X+1 X 0 X 1 1 0 X+1 X+1 X+1 X 1 X X 1 1 1 1 0 0 0 0 0 0 0 X+1 1 1 X X 1 1 1 X X 1 X+1 0 X X+1 0
0 0 0 X X X 0 0 0 X X X 0 X X 0 0 X X 0 X 0 X 0 0 X X 0 X 0 0 X X 0 0 X X 0 X X 0 X 0 0 X 0 X 0 0 X X X X 0 X 0 0 0 0
generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 57.
Homogenous weight enumerator: w(x)=1x^0+32x^57+20x^58+16x^59+28x^60+8x^61+12x^62+3x^64+8x^65
The gray image is a linear code over GF(2) with n=118, k=7 and d=57.
This code was found by Heurico 1.16 in 1.19 seconds.