The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+14x^13+80x^14+100x^15+228x^16+964x^17+1324x^18+3524x^19+3900x^20+3536x^21+1340x^22+972x^23+216x^24+92x^25+68x^26+12x^27+4x^28+2x^29+4x^30+3x^32

The gray image is a code over GF(2) with n=160, k=14 and d=52.
This code was found by Heurico 1.16 in 0.855 seconds.