The generator matrix

 1  1  1  1  1  1  1  1  2  8  2  1  1  8  1  1  2  2  4  4
 0  2  0  6  0  6  0  2  6  2  6  2  4  2 12  4 14  4  8  0
 0  0 12  0  0  4  4  4  0  0  4  8  0  4 12 12  8  8  0  0
 0  0  0 12 12  4  4  0  0  4 12  4 12  8  4  0 12 12  4  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  0  8  0
 0  0  0  0  0  8  0  0  8  0  8  8  8  8  0  0  0  0  8  0
 0  0  0  0  0  0  8  8  0  8  8  0  8  8  0  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+145x^14+80x^15+511x^16+720x^17+1909x^18+2784x^19+4081x^20+2784x^21+1927x^22+720x^23+507x^24+80x^25+111x^26+19x^28+4x^30+1x^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 1.01 seconds.