The generator matrix

1 0 0 0 0 0 1 1 1 X 1 1 0 1 X 1 1 1 1 X X 1 1 1 X 1 X 0 X X 1 1 0 1 1 1
0 1 0 0 0 0 0 0 0 0 0 0 X 1 1 X+1 1 X+1 X+1 1 1 X 1 X 1 1 1 1 X X X+1 X 1 X 0 0
0 0 1 0 0 0 0 0 X X 1 1 1 1 1 0 X X+1 X X X+1 1 1 X+1 0 X+1 X+1 1 X 1 X X+1 X+1 0 0 1
0 0 0 1 0 0 1 X 1 1 0 X+1 1 X X+1 X+1 1 1 0 1 X+1 1 X X+1 X+1 1 0 X+1 X X+1 X X+1 X X X+1 0
0 0 0 0 1 0 1 X+1 0 1 X X+1 1 1 X 1 X 0 X+1 X 1 X X X X+1 X+1 1 X 1 X 1 X+1 0 1 X 1
0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 1 X X+1 0 X+1 X 1 X+1 X 0 0 X X 0 X+1 1 0 X+1 X X 0 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+123x^28+422x^30+594x^32+572x^34+679x^36+642x^38+542x^40+336x^42+134x^44+44x^46+6x^48+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 1.10 in 0.375 seconds.