The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  X  1  1  1  1  0  1  1  0  1  0  1  1  1  1  1  1  1  0  1  X  1  1  1
 0  1  1  0  1  1  0  1  1  X X+1  1  1  0 X+1  0 X+1  1 X+1  0  1  0  1 X+1 X+1 X+1  0  X  X X+1  0  X  1  X  0  0
 0  0  X  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  X  X  X  0  X  0  0  0  0  0  X  0  X  0  X  0  0  0
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  X  0  X  X  X  X  X  X  X  0  X  X  0  X  X  0  X  0  0  0  0
 0  0  0  0  X  0  0  0  0  0  X  X  X  X  0  0  X  0  X  0  X  0  0  X  X  X  0  X  X  0  X  X  X  0  0  0
 0  0  0  0  0  X  0  0  X  0  0  X  0  X  0  X  X  X  X  0  0  X  X  X  X  0  0  X  0  0  0  0  X  0  0  0
 0  0  0  0  0  0  X  0  X  X  0  0  X  X  0  0  0  X  0  X  0  0  X  0  0  X  X  0  0  X  X  X  0  X  0  0
 0  0  0  0  0  0  0  X  X  0  X  0  X  X  X  0  X  X  0  0  0  0  0  X  X  0  X  0  X  0  0  X  0  X  0  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+62x^28+66x^30+155x^32+142x^34+193x^36+130x^38+159x^40+42x^42+54x^44+4x^46+12x^48+3x^52+1x^56

The gray image is a linear code over GF(2) with n=72, k=10 and d=28.
This code was found by Heurico 1.16 in 0.0793 seconds.