The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  0  X  1  1  0  1  1  1  1  1  0  1  0  1  1  1  X  1  X
 0  1  1  0  1  1  0  1  1  0  1  1  0 X+1  1  X  1  1  1  0 X+1  1 X+1  0  0 X+1 X+1  1 X+1  1 X+1  0 X+1  0  1  0
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  0  X  X  X  X  0  X  0  0  0  0  X  0  X  0  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  0  X  X  X  0  X  0  X  X  X  0  X  0  0  X  X  0  X  X  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  0  X  0  X  X  X  0  0  0  0  X  X  X  0  0  0  X  X  X  X  X
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  0  X  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  X  X  0  0  X  0  0  X  X  X  X  0  0  0  X  0  0  X  0  X  0  X
 0  0  0  0  0  0  0  X  0  0  0  0  X  0  0  X  X  0  0  0  0  X  0  0  0  0  X  X  X  0  X  X  0  X  0  X
 0  0  0  0  0  0  0  0  X  0  0  0  X  0  0  X  0  X  0  X  0  X  X  X  X  0  0  X  X  X  0  X  X  0  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  0  X  0  X  X  X  X  X  0  0  X  0  0  0  0  0  X  X  X  X  0  X  X  0
 0  0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  X  0  X  0  0  X  X  X  X  0  0  X  0  X  X  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  X  X  X  X  0  0  X  0  0  X  0  0  X  0  X  X

generates a code of length 36 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+210x^24+62x^26+746x^28+682x^30+2272x^32+2380x^34+3698x^36+2228x^38+2435x^40+726x^42+710x^44+66x^46+131x^48+30x^52+7x^56

The gray image is a linear code over GF(2) with n=72, k=14 and d=24.
This code was found by Heurico 1.16 in 16.6 seconds.