The generator matrix

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

generates a code of length 35 over Z2[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+30x^29+48x^30+22x^31+55x^32+74x^33+33x^34+26x^35+36x^36+50x^37+37x^38+10x^39+28x^40+38x^41+6x^42+6x^43+4x^44+2x^46+4x^48+1x^50+1x^54

The gray image is a linear code over GF(2) with n=70, k=9 and d=29.
This code was found by Heurico 1.16 in 198 seconds.