The generator matrix

 1  0  0  1  1  1  X  1  1  X  1  X  1  0  1  1  1  1  1  1  X  1  1  0  X  0  0  0  X  0  X  X  X  X  1
 0  1  0  0  1 X+1  1  X X+1  1  0  0  1  1  X  X  X  0  0  1  1  X X+1  1  X  1  1  1  X  1  0  0  X  0  0
 0  0  1  1 X+1  0 X+1  1 X+1  X  X  1  X  1 X+1 X+1  1  1  0  1 X+1  X X+1 X+1  0 X+1  0  X  1  1  1  0  X  X  0
 0  0  0  X  X  X  0  0  0  X  X  X  0  X  X  0  X  0  X  X  X  X  X  X  X  0  X  X  0  0  0  X  X  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+36x^33+22x^34+14x^35+10x^36+6x^37+4x^38+4x^40+4x^41+6x^42+2x^43+2x^44+2x^45

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 0.00553 seconds.