The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  2  0  1  1  1  1  1  0  2  0  1  1  1  0  1  0  0  1  0  1  1  1  1  2
 0  1  0  1  0  1  1  0  0  1  1  1  1  0  2  1  2  3  1  1  1  0  2  0  3  1  1  0  1  3  2  2  1  0  2  1
 0  0  1  1  1  0  1  0  1  1  0  0  1  1  2  3  3  0  3  0  1  1  1  0  0  0  1  1  1  2  1  2  2  2  3  1
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  0  2  0  0  0  2  2  2  0  2  2  2  0  2  2
 0  0  0  0  2  0  0  0  0  0  0  0  2  2  0  2  2  0  0  2  2  2  2  2  0  0  0  2  0  0  2  0  0  2  0  2
 0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  0  0  2  0  0  0  2  2  0  2  2  0  2  0  2  0  0  2  0  2  2
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  0  0  2  2  2  0  0  2  0  2  0  0  0  2  0  2  2  2  2  2
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  2  2  0  2  2  0  2  0  2  0  2  2
 0  0  0  0  0  0  0  0  2  0  0  0  2  2  0  2  2  0  0  2  2  2  2  2  2  2  2  0  2  0  0  2  2  0  2  2
 0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  2  2  2  0  2  2  2  0  2  2  0  2  2  0  0  2  0  2  2
 0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  0  0  2  0  0  2  0  0  2  2  2  2  0  0  0  0  2  0  2  0  0
 0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  0  0  0  2  0  2  2  2  2  0  2  2  2  2  2  2  0  2  2  2

generates a code of length 36 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+223x^24+272x^26+1307x^28+1780x^30+4191x^32+5076x^34+6941x^36+5160x^38+4322x^40+1816x^42+1221x^44+228x^46+188x^48+4x^50+35x^52+3x^56

The gray image is a code over GF(2) with n=72, k=15 and d=24.
This code was found by Heurico 1.16 in 49.2 seconds.