The generator matrix

1 0 0 0 0 0 0 1 1 1 1 1 0 2 0 1 1 1 0 2 1 1 1 0 1 1 1 1 0 0 0 2 2 0 1 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 1 1 2 2 1 2 3 1 2 1 2 0 1 2 0 0
0 0 1 0 0 0 0 0 0 1 1 1 1 1 2 3 3 1 0 3 0 2 3 1 0 1 3 3 1 0 2 1 3 2 0 0
0 0 0 1 0 0 0 0 1 0 3 2 1 3 0 1 2 0 1 0 2 2 3 3 3 3 1 2 0 3 1 3 3 2 1 0
0 0 0 0 1 0 0 0 1 1 0 2 3 2 1 3 3 3 0 2 2 1 3 3 2 2 0 1 0 2 0 2 3 1 1 0
0 0 0 0 0 1 0 1 0 1 3 2 3 1 3 1 2 2 2 0 0 2 2 0 1 1 0 1 3 3 1 3 3 0 0 0
0 0 0 0 0 0 1 1 3 2 0 3 1 0 2 3 0 3 1 2 1 1 0 1 3 1 0 2 0 3 2 1 2 1 1 0
0 0 0 0 0 0 0 2 2 0 2 0 2 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 0 0 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+39x^24+146x^25+258x^26+406x^27+633x^28+870x^29+1152x^30+1620x^31+1929x^32+2258x^33+2600x^34+2754x^35+3003x^36+2958x^37+2848x^38+2464x^39+1935x^40+1566x^41+1103x^42+834x^43+575x^44+362x^45+216x^46+108x^47+72x^48+30x^49+14x^50+6x^51+5x^52+2x^53+1x^58

The gray image is a code over GF(2) with n=72, k=15 and d=24.
This code was found by Heurico 1.10 in 21.4 seconds.