The generator matrix

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

generates a code of length 21 over Z4 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+38x^16+52x^17+47x^18+50x^19+40x^20+64x^21+51x^22+38x^23+40x^24+44x^25+29x^26+6x^27+8x^28+1x^30+2x^31+1x^32

The gray image is a code over GF(2) with n=42, k=9 and d=16.
This code was found by Heurico 1.10 in 0.016 seconds.