The generator matrix

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

generates a code of length 20 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+60x^15+291x^16+508x^17+1672x^18+3528x^19+4266x^20+3544x^21+1696x^22+492x^23+236x^24+44x^25+24x^26+16x^27+6x^28

The gray image is a code over GF(2) with n=160, k=14 and d=60.
This code was found by Heurico 1.16 in 3.45 seconds.