The generator matrix

 1  0  1  1  1  4  1  1  1  1 10  2 14  2  1  1  1  1  1  1
 0  1  1  0 11  1 10  5  6  7  1 12  1  2  2  5 10 13  2 12
 0  0  2  6  4  6 14  4  4  6  6  2  4  2  2  6  2  6  2 14
 0  0  0 12  0  4  0 12  4  4  8  4  8  0  0  8  4 12  8  8
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  8
 0  0  0  0  0  0  8  0  0  8  0  8  8  8  0  8  0  0  8  0

generates a code of length 20 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+152x^14+140x^15+1171x^16+1992x^17+8474x^18+10164x^19+21338x^20+10160x^21+8519x^22+1972x^23+1164x^24+136x^25+134x^26+12x^27+6x^28+1x^38

The gray image is a code over GF(2) with n=160, k=16 and d=56.
This code was found by Heurico 1.16 in 7.86 seconds.