The generator matrix

 1  0  0  0  1  1  1  0  0  0  X  1  1  1  1  X  1  X  1  0  1  X  1  0  1  1  1  1  1  1  1  1  1  X  1
 0  1  0  0  X  1 X+1  1  1  1  0  0  X  1 X+1  X  0  1  1  1  X  1  X  1 X+1 X+1  0  0  1  0  1 X+1  X  X  X
 0  0  1  0  0  0  0  X  1 X+1  1  1 X+1  1 X+1  1  X  1  X  1 X+1 X+1  X  X  X X+1  1 X+1 X+1 X+1  1  0  0  0  1
 0  0  0  1  1 X+1  X X+1  1  X  1 X+1  X  0  1 X+1  1  X  X  X X+1  0  0  0 X+1  0  X  0  1  X  1  1  0  1  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+89x^32+48x^34+73x^36+16x^38+17x^40+3x^44+9x^48

The gray image is a linear code over GF(2) with n=70, k=8 and d=32.
As d=32 is an upper bound for linear (70,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8.
This code was found by Heurico 1.16 in 0.0264 seconds.