The generator matrix

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

generates a code of length 20 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+136x^15+380x^16+694x^17+1516x^18+3370x^19+4118x^20+3460x^21+1599x^22+644x^23+293x^24+134x^25+18x^26+10x^27+8x^28+3x^30

The gray image is a code over GF(2) with n=160, k=14 and d=60.
This code was found by Heurico 1.16 in 0.953 seconds.