The generator matrix

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

generates a code of length 34 over Z2[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+42x^29+68x^30+54x^31+38x^32+46x^33+75x^34+40x^35+12x^36+24x^37+32x^38+30x^39+12x^40+14x^41+16x^42+4x^43+2x^45+1x^48+1x^50

The gray image is a linear code over GF(2) with n=68, k=9 and d=29.
This code was found by Heurico 1.16 in 0.032 seconds.