The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  0  0  8  1  2  8  4  1
 0  2  0  2  0 10 12 14  4  4 10  6  0  2  4 14  4  4 12  2
 0  0  2  2 12 14  6  4  2  4  6  0  2  0  2  4  2  2  0  2
 0  0  0  8  0  0  0  8  8  8  8  0  0  0  8  0  0  8  0  0
 0  0  0  0  8  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0
 0  0  0  0  0  8  0  8  8  8  0  0  8  8  0  0  0  8  8  8
 0  0  0  0  0  0  8  0  0  8  8  0  8  0  8  8  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+51x^14+152x^15+409x^16+630x^17+2256x^18+2288x^19+4820x^20+2294x^21+2250x^22+632x^23+390x^24+146x^25+48x^26+12x^28+2x^29+3x^30

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 0.834 seconds.