The generator matrix

 1  0  1  1  1 14  1  1  6  1  1 12  8 10  6  1  1  2 14  1
 0  1 11 14  5  1  0  3  1  6 13  1  1  1  1  4 14 14  1  0
 0  0 12  4  0  4 12  0  8  0  4  0  4  0  8 12  4  4  4  0
 0  0  0  8  0  0  0  8  8  8  8  0  0  8  8  0  0  0  8  0
 0  0  0  0  8  0  0  8  0  0  0  0  8  8  8  8  8  0  8  0
 0  0  0  0  0  8  0  0  0  8  8  8  8  0  8  0  8  0  8  0
 0  0  0  0  0  0  8  8  8  8  8  0  8  0  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+36x^14+88x^15+162x^16+836x^17+1374x^18+3932x^19+3520x^20+3960x^21+1370x^22+832x^23+148x^24+68x^25+34x^26+12x^27+8x^28+2x^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 0.606 seconds.