The generator matrix

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

generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+8x^34+44x^36+8x^38+1x^40+1x^48+1x^56

The gray image is a linear code over GF(2) with n=72, k=6 and d=34.
This code was found by Heurico 1.16 in 0.00501 seconds.