The generator matrix

 1  0  0  1  1  1  X  1  1  X  1  X  1  0  1  1  1  1  1  1  1  1  0  0  1  1  1  1  1
 0  1  0  0  1 X+1  1  X X+1  1  0  0  1  1  X  X  X  0  0  X X+1 X+1  1  1  0  X  X  0  1
 0  0  1  1 X+1  0 X+1  1 X+1  X  X  1  X  1 X+1 X+1  1  1  0  X  0  X  0  X  X  0  X  0  1
 0  0  0  X  X  X  0  0  0  X  X  X  0  X  X  0  X  0  X  0  0  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 26.

Homogenous weight enumerator: w(x)=1x^0+16x^26+30x^27+20x^28+16x^29+10x^30+12x^31+8x^32+5x^34+6x^35+2x^36+1x^40+1x^42

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 0.00331 seconds.