The generator matrix

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

generates a code of length 33 over Z4 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+98x^20+678x^22+1600x^24+3402x^26+6060x^28+9326x^30+11393x^32+11772x^34+9226x^36+6386x^38+3384x^40+1570x^42+472x^44+138x^46+22x^48+8x^50

The gray image is a code over GF(2) with n=66, k=16 and d=20.
This code was found by Heurico 1.10 in 69.1 seconds.