The generator matrix

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

generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+114x^28+104x^30+338x^32+280x^34+403x^36+280x^38+306x^40+104x^42+88x^44+27x^48+3x^52

The gray image is a linear code over GF(2) with n=72, k=11 and d=28.
This code was found by Heurico 1.16 in 0.331 seconds.