The generator matrix

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

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+192x^30+205x^32+180x^34+110x^36+128x^38+114x^40+68x^42+18x^44+8x^46

The gray image is a linear code over GF(2) with n=70, k=10 and d=30.
This code was found by Heurico 1.10 in 0.094 seconds.