The generator matrix

 1  0  0  1  1  1 10  1  4 14  1  1 12  0  1  1  4  1  1  1
 0  1  0  2  1  7  1 11  2  1 12 14  1  1  2  7 14  5 14 10
 0  0  1  1  5  2  1  3  1  3  7  0  4  9 15  1  1  5 12  6
 0  0  0  4 12  8  4  4  0  4 12  4  4  8  8  0  4  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+179x^16+750x^17+1718x^18+3514x^19+4002x^20+3646x^21+1744x^22+612x^23+152x^24+50x^25+10x^26+2x^27+2x^28+2x^29

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 0.641 seconds.