The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  1  1  1  1  1  1  X  0  1  1  1  0  1  X  1  1  0  0  1  1  0  0  1
 0  1  0  0  0  0  0  0  0  1  1  1 X+1  0 X+1  1  X  1  0  X  1  0  0  X  1 X+1  X  1 X+1  1  X  1 X+1  X  0  0
 0  0  1  0  0  0  1  1  1  X  1 X+1 X+1 X+1 X+1 X+1  X  0 X+1  0  X  X  1 X+1  0  1  1  0  0  1  1  1  X  1  X X+1
 0  0  0  1  0  1  1  0 X+1  X  0  X X+1  X X+1  0  1  1  1  0 X+1 X+1  0  1  X  0 X+1  1  0 X+1  1  1  X  1  0  X
 0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  1 X+1  X X+1  0  X  1 X+1 X+1  1  1  0 X+1  0  X  0  1 X+1  X  0  0  1  1
 0  0  0  0  0  X  0  X  X  X  0  X  X  0  0  X  0  X  0  X  0  0  X  X  X  X  X  0  X  0  0  X  X  X  0  0
 0  0  0  0  0  0  X  0  X  0  X  X  0  X  X  0  X  X  0  0  X  0  X  X  X  X  0  X  0  X  X  0  X  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+139x^28+414x^30+542x^32+606x^34+712x^36+620x^38+557x^40+312x^42+149x^44+30x^46+11x^48+2x^50+1x^56

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 1.01 seconds.