The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  1 10  1  1  1  1  1  0  1
 0  1  3  6  5  1 12 15  1 10  9  3  1  5 15  9  5  0  1  0
 0  0  8  0  0  0  0  0  0  8  8  8  0  0  8  8  0  8  0  0
 0  0  0  8  0  0  0  8  0  8  0  8  0  8  8  0  8  8  8  0
 0  0  0  0  8  0  0  0  8  0  8  8  0  8  8  0  8  0  0  0
 0  0  0  0  0  8  0  8  8  0  0  8  0  8  0  8  0  8  8  0
 0  0  0  0  0  0  8  8  0  0  8  8  8  8  8  8  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+18x^14+24x^15+90x^16+312x^17+812x^18+2096x^19+1488x^20+2096x^21+820x^22+312x^23+76x^24+24x^25+12x^26+8x^28+2x^30+1x^32

The gray image is a code over GF(2) with n=160, k=13 and d=56.
This code was found by Heurico 1.16 in 0.133 seconds.