The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  2  1  2  1  2  1  1  1  1  2  2  1  2
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  2  0  2  0  2  2  0  0  2  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  0  0  2  2  2  2  0  0  2  0  2
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  0  2  0  2  2
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  0  2  2  0  2  2  0  0  2  2  2  2  0  0  2  0  2  0  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  2  0  2  0  2  0  2  0  2  2  2  2  0  0  2  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  0  0  0  2  2  0  0  0  2  2  2  2  2  2  0  2  2  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  0  0  2  2  2  2  2  0  0  0  2  2  0  0  2
 0  0  0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  0  0  0  0  2  2  0  0  2  2  2  2  0  2  2  0  0
 0  0  0  0  0  0  0  0  0  2  0  0  2  0  0  0  2  0  0  2  0  2  0  0  2  2  2  2  0  2  2  0  2  2  0  2
 0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  2  2  2  0  2  0  0  2  2  2  0  2  0  2  0  2  0
 0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  0  2  0  2  0  2  0  0  0  0  0  2  2  2  0  2

generates a code of length 36 over Z4 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 code over GF(2) with n=72, k=13 and d=24.
This code was found by Heurico 1.16 in 10.5 seconds.