The generator matrix

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

generates a code of length 35 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+15x^32+40x^33+15x^34+16x^36+16x^37+16x^38+8x^41+1x^66

The gray image is a linear code over GF(2) with n=70, k=7 and d=32.
This code was found by Heurico 1.16 in 0.00581 seconds.