The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^21+170x^22+376x^23+608x^24+1018x^25+1557x^26+2188x^27+2969x^28+3718x^29+4797x^30+5672x^31+6201x^32+6550x^33+6295x^34+5800x^35+4962x^36+3866x^37+2980x^38+2248x^39+1480x^40+846x^41+539x^42+332x^43+157x^44+74x^45+45x^46+24x^47+6x^48+2x^49+1x^50

The gray image is a code over GF(2) with n=66, k=16 and d=21.
This code was found by Heurico 1.10 in 74.1 seconds.