The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  1  0  1  1  1  X  1  1  1  1  0  X  0  X  0  1  X  0  1  0  X  0  1
 0  1  0  1  0  1  1  0  X  1 X+1  1  1  0  0  X  0  1  1  0  X  X X+1  0  1  0  1  1 X+1  1  1 X+1  1  1  X  0
 0  0  1  1  1  0  1  0  1 X+1  X  0  1  X  1  1 X+1  1  1  0  0  0 X+1  1  X  1  X  0  X X+1  0  X  X  X  X  0
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  X  X  X  0  X  0  0  0  0  X  X  X  X  X  X  X  0  0  0  X  0
 0  0  0  0  X  0  0  0  X  0  0  0  0  0  0  X  X  0  0  X  X  X  X  X  X  X  X  0  0  X  0  X  0  0  0  0
 0  0  0  0  0  X  0  0  0  0  X  0  0  0  X  X  X  X  X  0  X  X  0  X  0  0  X  0  X  0  0  X  X  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  X  0  X  X  X  0  0  X  X  X  0  0  X  X  X  X  X  0  0  0  0  X  0  0  0
 0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  X  0  0  X  0  0  0  0  0  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+58x^28+60x^29+134x^30+122x^31+117x^32+148x^33+116x^34+184x^35+159x^36+180x^37+158x^38+164x^39+123x^40+108x^41+82x^42+40x^43+46x^44+16x^45+20x^46+2x^47+6x^48+2x^50+1x^52+1x^56

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 0.262 seconds.