The generator matrix

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

generates a code of length 20 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+274x^16+800x^17+1790x^18+3160x^19+4321x^20+3256x^21+1796x^22+648x^23+249x^24+72x^25+14x^26+3x^28

The gray image is a code over GF(2) with n=160, k=14 and d=64.
This code was found by Heurico 1.16 in 0.744 seconds.