The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 14  0  6  4  2  8  2  8  2
 0  1 11  6  5  1  0 11  1  8  3  1  1  1  1  1  1  0  2  8
 0  0 12  0  0  4  4  0  4 12  4  8  4  0  8  4  0  4  0  4
 0  0  0 12  0  4  4 12  0  8 12 12 12  0 12  8  4  4  4  0
 0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  0  8  0  0
 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  8  8  8  8  8  0  0  0  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+90x^14+216x^15+365x^16+1560x^17+2664x^18+7472x^19+8041x^20+7408x^21+2788x^22+1528x^23+290x^24+248x^25+88x^26+6x^28+2x^30+1x^36

The gray image is a code over GF(2) with n=160, k=15 and d=56.
This code was found by Heurico 1.16 in 2.23 seconds.