The generator matrix

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

generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+4x^58+16x^59+6x^60+2x^62+1x^64+2x^66

The gray image is a linear code over GF(2) with n=116, k=5 and d=58.
This code was found by Heurico 1.16 in 0.0363 seconds.