The generator matrix

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

generates a code of length 29 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+35x^24+8x^25+26x^26+32x^27+19x^28+32x^29+17x^30+16x^31+8x^32+24x^33+17x^34+16x^35+1x^36+3x^38+1x^42

The gray image is a linear code over GF(2) with n=58, k=8 and d=24.
This code was found by Heurico 1.16 in 0.00653 seconds.