The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^14+144x^15+619x^16+1108x^17+3487x^18+6114x^19+9514x^20+6322x^21+3539x^22+996x^23+572x^24+152x^25+85x^26+10x^27+14x^28+2x^29+1x^30

The gray image is a code over GF(2) with n=160, k=15 and d=56.
This code was found by Heurico 1.16 in 2.33 seconds.