The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  0  X  X  1  1  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  0  X  X  0  0  0  X  0  0  X  X  X  X  X  X  0  X  0  0  0
 0  0  X  0  0  0  0  0  0  X  X  X  0  X  X  0  0  X  X  0  X  0  X  X  0  X  X  X  X
 0  0  0  X  0  0  0  0  0  X  0  X  X  X  0  X  X  X  0  0  0  0  0  X  X  X  X  X  X
 0  0  0  0  X  0  0  0  X  0  0  X  X  0  X  X  0  X  0  X  0  X  X  X  0  0  0  X  0
 0  0  0  0  0  X  0  0  X  0  X  0  0  X  X  X  X  X  0  0  X  X  X  0  0  X  0  0  0
 0  0  0  0  0  0  X  0  X  X  X  0  0  0  X  X  X  X  X  X  0  0  X  X  X  0  X  X  0
 0  0  0  0  0  0  0  X  X  X  0  0  X  X  X  0  X  0  X  0  X  0  0  X  X  0  0  X  0

generates a code of length 29 over Z2[X]/(X^2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+26x^22+43x^24+32x^25+32x^26+64x^27+35x^28+64x^29+31x^30+64x^31+23x^32+32x^33+30x^34+20x^36+6x^38+5x^40+2x^42+1x^44+1x^46

The gray image is a linear code over GF(2) with n=58, k=9 and d=22.
This code was found by Heurico 1.16 in 0.031 seconds.