The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^16+50x^17+19x^18+62x^19+77x^20+52x^21+29x^22+44x^23+59x^24+26x^25+13x^26+22x^27+11x^28+3x^30

The gray image is a code over GF(2) with n=42, k=9 and d=16.
This code was found by Heurico 1.16 in 0.00862 seconds.