The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^24+38x^25+142x^26+184x^27+342x^28+416x^29+642x^30+718x^31+929x^32+1166x^33+1251x^34+1562x^35+1424x^36+1552x^37+1321x^38+1196x^39+1034x^40+770x^41+588x^42+396x^43+278x^44+144x^45+132x^46+38x^47+42x^48+10x^49+19x^50+2x^51+4x^52+1x^54+2x^56

The gray image is a code over GF(2) with n=72, k=14 and d=24.
This code was found by Heurico 1.16 in 24.6 seconds.