The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^16+186x^18+235x^20+192x^22+173x^24+98x^26+21x^28+4x^30

The gray image is a code over GF(2) with n=42, k=10 and d=16.
This code was found by Heurico 1.16 in 0.029 seconds.