The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  X  1  X  1  X  1  1  1  1  X  X  1  X
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  0  X  0  X  X  0  0  X  0
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  X  X  X  0  X  0  0  X  X  X  X  0  0  X  0  X
 0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  X  X  0  0  X  X  0  X  0  X  X
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  0  X  X  0  X  X  0  0  X  X  X  X  0  0  X  0  X  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  X  X  0  X  0  X  0  X  0  X  X  X  X  0  0  X  0  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  X  0  0  0  X  X  0  0  0  X  X  X  X  X  X  0  X  X  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  X  0  0  X  X  X  X  X  0  0  0  X  X  0  0  X
 0  0  0  0  0  0  0  0  X  0  0  0  X  0  0  0  0  X  X  0  0  0  0  X  X  0  0  X  X  X  X  0  X  X  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  X  0  0  0  X  0  0  X  0  X  0  0  X  X  X  X  0  X  X  0  X  X  0  X
 0  0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  0  0  X  X  X  0  X  0  0  X  X  X  0  X  0  X  0  X  0
 0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  X  X  0  X  0  X  0  X  0  0  0  0  0  X  X  X  0  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+195x^24+532x^28+128x^30+1201x^32+896x^34+2196x^36+896x^38+1398x^40+128x^42+444x^44+142x^48+28x^52+7x^56

The gray image is a linear code over GF(2) with n=72, k=13 and d=24.
This code was found by Heurico 1.16 in 10.3 seconds.