The generator matrix

 1  0  0  1  1  1  6  1  2  1  1  8  1 12  4  1  1 12  4  1
 0  1  0  1  6  7  1 11  6 10 12  1  4  1  6  1  5  1  1  0
 0  0  1  1  3  2  3  0  1  2  3  5  6  3  1  4  7  6  2  0
 0  0  0 12  0  0  8  4  4  4  8 12  4  8  4  0 12  8  8  0
 0  0  0  0  8  0  8  8  0  0  0  0  0  8  8  8  8  0  8  8
 0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  0  8  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+34x^14+208x^15+672x^16+2624x^17+6650x^18+14048x^19+17030x^20+14096x^21+6678x^22+2624x^23+622x^24+176x^25+46x^26+16x^27+10x^28+1x^32

The gray image is a code over GF(2) with n=160, k=16 and d=56.
This code was found by Heurico 1.16 in 6.58 seconds.