The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  X  X  1  1  1  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  X  0  X
 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  0  X  0  0  X  X  X  0  X  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  X  0  X  0  0  0  X  0  0  X  X  X  X
 0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  0  0  X  0  X  X  X  0  0  X  0  X  X  X  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  X  0  X  X  0  0  X  X  0  0  0  X  X  0  0  X  0  0  0  X
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  0  X  0  X  0  X  0  X  0  X  X  X  0  X  0  0  X
 0  0  0  0  0  0  0  X  0  0  0  X  0  0  0  0  X  X  X  X  0  X  0  0  X  X  0  X  0  X  X  0  0  X  X  0
 0  0  0  0  0  0  0  0  X  0  0  X  0  0  0  X  0  0  X  X  X  X  X  0  X  0  0  X  X  X  0  X  X  X  0  0
 0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  0  0  X  0  0  0  X  0  X  0  X  X  0  0  0  0  0  X  0  0
 0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  X  0  0  X  X  X  0  X  X  0  0  X  0  0  X  0  0  0  0

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+48x^24+95x^26+145x^28+169x^30+319x^32+741x^34+1007x^36+791x^38+359x^40+177x^42+119x^44+63x^46+39x^48+11x^50+9x^52+1x^54+1x^56+1x^64

The gray image is a linear code over GF(2) with n=72, k=12 and d=24.
This code was found by Heurico 1.16 in 1.39 seconds.