The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  X  X  X  X  X  X  X  X  X  X
 0  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  0  0  0  0  X  X  X  X  0  X  0  X  0  X  0  X  0  0  X
 0  0  X  0  0  0  X  X  X  X  X  0  X  X  0  0  0  0  0  0  X  X  0  0  0  X  X  X  X  X  X  X  X  0  0  0
 0  0  0  X  0  X  X  X  0  0  0  0  X  X  X  X  0  0  X  X  X  0  X  0  0  X  0  0  0  0  X  X  X  0  X  X
 0  0  0  0  X  X  0  X  X  0  X  X  X  0  0  X  0  X  X  0  0  0  X  X  0  0  X  X  0  0  X  X  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+20x^34+27x^36+8x^38+3x^40+2x^42+1x^44+2x^50

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 0.174 seconds.