The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  X  1  X  X  0  1  0  1  1  1  X  0  1  1  X  X  1  1  0  0  X  1  0
 0  1  0  0  0  1  1  1  X  0 X+1 X+1  1  1  1  X  1  1  1  X X+1  X  0  1  1  1  1  0  0  0  1  0  1  X  1  X
 0  0  1  0  1  1  0  1  0 X+1 X+1  X  X X+1  1  1  1  X  0  1  X  0  0 X+1  X  0 X+1  0  1  1  X  X X+1  X  X  0
 0  0  0  1  1  0  1  1  1  0  1  X X+1  0  X X+1  0 X+1  1  0  X  0  1  0  X X+1  1  1  0  0  0  1  1  1  X  1
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  0  X  0  X  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  X  X  0  0  X  X  0  0  X  X  X  X  0  X  0  0  X  X  X  X  0  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  X  X  0  0  X  X  0  0  X  X  0  0  X  X  X  X  X  X  X
 0  0  0  0  0  0  0  X  X  X  0  X  X  X  X  0  0  0  X  X  0  X  0  0  X  X  0  0  X  0  X  X  0  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+149x^28+372x^30+601x^32+580x^34+701x^36+636x^38+556x^40+300x^42+155x^44+32x^46+10x^48+3x^52

The gray image is a linear code over GF(2) with n=72, k=12 and d=28.
This code was found by Heurico 1.16 in 1.04 seconds.