The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+116x^16+180x^18+232x^20+200x^22+192x^24+68x^26+32x^28+3x^32

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 0.0784 seconds.