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

generates a code of length 35 over Z2[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+72x^30+145x^32+80x^34+32x^36+80x^38+72x^40+16x^42+8x^46+6x^48

The gray image is a linear code over GF(2) with n=70, k=9 and d=30.
This code was found by Heurico 1.16 in 13.6 seconds.