The generator matrix

 1  0  0  1  1  1 10  1  1  6  1  1  1 14  1  2  1  1  4  1
 0  1  0  4  5 11  1 12  4  0  5  1 14  1 14  1  2 10  2  8
 0  0  1  7  3  4  5  6  1  1  5  2  1  4  7  1  7  6  1  8
 0  0  0  8  0  0  0  8  0  8  8  0  8  8  0  0  8  8  8  0
 0  0  0  0  8  8  0  8  8  8  8  0  0  0  0  8  8  0  0  8

generates a code of length 20 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+169x^16+792x^17+1706x^18+3172x^19+4714x^20+3248x^21+1676x^22+664x^23+170x^24+56x^25+10x^26+4x^27+2x^28

The gray image is a code over GF(2) with n=160, k=14 and d=64.
This code was found by Heurico 1.16 in 0.606 seconds.