The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+33x^16+72x^17+48x^18+24x^20+48x^21+6x^24+8x^25+16x^26

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 0.00278 seconds.