The generator matrix

 1  1  1  1  1  1  1  1  1  2  2 12  1  0  1  0  8  8  1  1
 0  2  0  2  0  4 10  6  0  4  2  2  2 12  8  0  0  2  4  0
 0  0  2  2  0  2  6  4  2  2  6 12 10  2  8  0  2  4 12  0
 0  0  0  4  0  4 12  8  4 12  8  4  8 12  4  4 12  4  4  0
 0  0  0  0 12 12 12  4  8  4 12  0  8  0  4  0  8 12  8  0

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

Homogenous weight enumerator: w(x)=1x^0+77x^14+146x^15+461x^16+796x^17+1847x^18+2906x^19+3912x^20+2888x^21+1915x^22+806x^23+388x^24+124x^25+97x^26+14x^27+4x^28+2x^32

The gray image is a code over GF(2) with n=160, k=14 and d=56.
This code was found by Heurico 1.16 in 0.93 seconds.