The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  1  1  2  2  0  1  1
 0  1  1  0  1  1  0  3  1  0  3  1  0  0  2  2  2  2  0  0  0
 0  0  2  0  0  0  0  2  0  2  2  2  0  2  2  0  2  2  2  0  0
 0  0  0  2  0  0  2  2  0  2  0  2  0  2  0  2  0  2  0  0  0
 0  0  0  0  2  0  2  0  2  2  2  2  0  0  0  0  2  2  0  0  0
 0  0  0  0  0  2  0  2  2  2  0  2  2  0  0  2  2  2  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+37x^16+48x^18+42x^20+64x^22+24x^24+16x^26+22x^28+2x^32

The gray image is a code over GF(2) with n=42, k=8 and d=16.
This code was found by Heurico 1.16 in 0.00327 seconds.