The generator matrix

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

generates a code of length 29 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+29x^26+44x^28+27x^30+15x^32+6x^34+4x^36+1x^38+1x^50

The gray image is a linear code over GF(2) with n=58, k=7 and d=26.
This code was found by Heurico 1.16 in 0.00534 seconds.