The generator matrix

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

generates a code of length 35 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+6x^34+8x^35+2x^36+8x^37+6x^38+1x^40

The gray image is a linear code over GF(2) with n=70, k=5 and d=34.
This code was found by Heurico 1.16 in 0.00418 seconds.