The generator matrix

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

generates a code of length 29 over Z2[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+28x^25+33x^26+32x^27+47x^28+28x^29+12x^30+20x^31+13x^32+4x^33+17x^34+8x^35+3x^36+4x^37+2x^38+4x^39

The gray image is a linear code over GF(2) with n=58, k=8 and d=25.
This code was found by Heurico 1.16 in 0.015 seconds.