The generator matrix

 1  0  1  1  1 12  1  1  1  6  2  0  1  4  1  1  1 14  8  1
 0  1  1 12 11  1  2  7  6  1  1  0  9  1  4  5  6  1  2  8
 0  0  2  6  4  6  2 14  0  0  2  2  6  2  2  6  0  4  4 12
 0  0  0  8  0  0  0  0  0  8  0  8  0  0  0  8  8  8  8  8
 0  0  0  0  8  0  0  0  0  0  8  8  0  8  8  8  0  8  0  8
 0  0  0  0  0  8  0  0  0  0  8  0  8  8  0  8  8  0  8  0
 0  0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  0  0  8  8
 0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0  0

generates a code of length 20 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+24x^13+126x^14+282x^15+646x^16+3366x^17+5378x^18+14754x^19+16374x^20+14766x^21+5382x^22+3374x^23+638x^24+274x^25+118x^26+22x^27+2x^28+2x^29+4x^30+3x^32

The gray image is a code over GF(2) with n=160, k=16 and d=52.
This code was found by Heurico 1.16 in 56.9 seconds.