The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  2  1  2  1  2  0  4  1
 0  2  0  2  0  0  6  6  6 12  6  4 10 14 10 12  2  0  4  0
 0  0  2  2  0 14  6  4  2  6  0 10  6 10  2  6  4  2 12  0
 0  0  0  4 12  4  8  4  4  0  0 12  8  8  4 12  0  8  8  0
 0  0  0  0  8  0  8  8  0  8  8  0  0  0  8  0  8  0  0  0
 0  0  0  0  0  8  8  0  8  8  0  0  0  8  8  0  8  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+43x^14+174x^15+329x^16+956x^17+1647x^18+2906x^19+4159x^20+3112x^21+1649x^22+866x^23+305x^24+156x^25+53x^26+22x^27+5x^28+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 0.856 seconds.