The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^24+138x^25+264x^26+390x^27+676x^28+870x^29+1176x^30+1554x^31+1887x^32+2190x^33+2566x^34+2974x^35+3004x^36+3032x^37+2788x^38+2344x^39+1916x^40+1602x^41+1144x^42+822x^43+600x^44+322x^45+228x^46+102x^47+56x^48+38x^49+26x^50+6x^51+8x^52

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 49.9 seconds.