The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^24+126x^25+290x^26+400x^27+624x^28+858x^29+1121x^30+1556x^31+1903x^32+2308x^33+2699x^34+2884x^35+3011x^36+2932x^37+2636x^38+2424x^39+1959x^40+1606x^41+1200x^42+808x^43+566x^44+338x^45+225x^46+116x^47+66x^48+24x^49+19x^50+4x^51+7x^52+2x^54+1x^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 50 seconds.