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.