The generator matrix

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

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+42x^29+108x^30+102x^31+62x^32+96x^33+126x^34+80x^35+30x^36+72x^37+102x^38+48x^39+32x^40+40x^41+42x^42+24x^43+2x^44+6x^45+6x^46+2x^47+1x^48

The gray image is a linear code over GF(2) with n=70, k=10 and d=29.
This code was found by Heurico 1.16 in 0.244 seconds.