The generator matrix

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

generates a code of length 34 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+13x^26+34x^28+73x^30+99x^32+98x^34+92x^36+50x^38+17x^40+17x^42+10x^44+5x^46+2x^48+1x^56

The gray image is a linear code over GF(2) with n=68, k=9 and d=26.
This code was found by Heurico 1.16 in 0.031 seconds.