The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  1  2  1  1  2  1  1  2  1
 0  2  0  2  0 10 12  6  2  6  4  0 10  4  4  2 14  2  6 10
 0  0  2  2 12 14  6  0  2  0  2  6  6  4  2  4  2  2  0  0
 0  0  0  8  0  0  0  0  0  0  8  8  0  0  8  8  0  8  8  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  8  8  0  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  0  8  0  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  8  8  0  8  0  8  0  0  0  8  0
 0  0  0  0  0  0  0  8  0  8  0  8  0  0  0  8  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+32x^13+89x^14+208x^15+776x^16+1340x^17+3351x^18+5040x^19+11002x^20+5164x^21+3404x^22+1264x^23+750x^24+244x^25+64x^26+16x^27+14x^28+4x^29+3x^30+1x^32+1x^34

The gray image is a code over GF(2) with n=160, k=15 and d=52.
This code was found by Heurico 1.16 in 40.9 seconds.