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.