The generator matrix

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

generates a code of length 33 over Z4 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+28x^21+94x^22+208x^23+354x^24+614x^25+818x^26+1092x^27+1523x^28+1886x^29+2347x^30+2718x^31+2985x^32+3098x^33+3144x^34+2900x^35+2402x^36+2060x^37+1456x^38+1064x^39+838x^40+446x^41+302x^42+200x^43+83x^44+58x^45+31x^46+10x^47+6x^48+2x^49

The gray image is a code over GF(2) with n=66, k=15 and d=21.
This code was found by Heurico 1.10 in 17.6 seconds.