The generator matrix

 1  0  1  1  1 12  1  2  1  1  6  1  1 14  1  1  1 14  4  1
 0  1  1 12 11  1  2  1 13  7  1  6  4  1  1 10  3  1  1  8
 0  0  2  6  4  6  2 10  4  2  0  0  2  4  4  6  0  4 10  4
 0  0  0  8  0  0  8  0  0  8  8  8  0  0  0  8  8  8  8  8
 0  0  0  0  8  0  8  8  0  8  8  0  8  8  0  0  0  8  8  8
 0  0  0  0  0  8  0  8  0  8  8  8  0  8  8  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+72x^15+165x^16+564x^17+1770x^18+3218x^19+4866x^20+3194x^21+1724x^22+548x^23+150x^24+80x^25+26x^26+2x^27+2x^28+2x^29

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 0.596 seconds.