The generator matrix

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

generates a code of length 29 over Z2[X]/(X^2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+6x^28+12x^29+6x^30+1x^32+4x^33+2x^34

The gray image is a linear code over GF(2) with n=58, k=5 and d=28.
This code was found by Heurico 1.16 in 0.00223 seconds.