The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2
 0  2  0  0  0  0  0  2  0  0  0  2  2  0  2  2  0  2  2
 0  0  2  0  0  0  0  2  0  0  2  2  0  2  2  0  2  2  0
 0  0  0  2  0  0  0  2  0  2  2  0  0  2  0  2  0  2  2
 0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  2  0  2
 0  0  0  0  0  2  0  2  2  0  0  0  2  2  0  2  2  2  0
 0  0  0  0  0  0  2  2  2  0  2  0  0  0  2  2  2  0  2

generates a code of length 19 over Z4 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+78x^16+96x^18+32x^22+48x^24+1x^32

The gray image is a code over GF(2) with n=38, k=8 and d=16.
This code was found by Heurico 1.16 in 0.00378 seconds.