The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  2  2  2  0  0  2  0  2  1  1  2  0  1  1  1  1  1  1  2  0  1  1  1  1
 0  1  0  0  0  1  1  1  0  0  1  3  1  0  1  1  2  1  1  1  1  1  0  2  0  2  0  3  3  0  0  1  2  3  2  0
 0  0  1  0  1  1  0  1  0  1  1  0  0  1  1  2  1  1  2  3  1  2  0  1  1  0  0  3  3  3  1  2  1  1  1  0
 0  0  0  1  1  0  1  1  1  0  1  0  1  1  0  2  2  0  1  3  3  2  1  3  3  0  3  2  3  0  0  1  1  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  0  2  2  2  2  2  2  2  2  0  2  2  2  0  0  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  2  2  0  2  2  0  0  0  2  0  2  2  0  2  0  0  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  0  2  2  2  0  0  2  2  0  0  2  0  0  2  2  0
 0  0  0  0  0  0  0  2  0  0  0  2  0  0  2  2  0  2  2  0  2  0  0  0  2  2  0  2  0  0  2  0  2  0  2  0
 0  0  0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  2  2  2  0  0  0  2  0  2  2  0  0  0  0  2  2
 0  0  0  0  0  0  0  0  0  2  0  0  2  0  2  2  0  2  0  2  2  2  0  0  0  2  0  0  0  2  0  0  2  2  2  0
 0  0  0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  0  2  0  0  2  2  2  2  0  2  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+74x^24+92x^25+312x^26+288x^27+562x^28+760x^29+1151x^30+1532x^31+1823x^32+2424x^33+2722x^34+3072x^35+3046x^36+3088x^37+2645x^38+2520x^39+2046x^40+1516x^41+1140x^42+704x^43+542x^44+280x^45+201x^46+76x^47+88x^48+32x^49+18x^50+10x^52+3x^54

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 45.8 seconds.