The generator matrix

 1  0  1  1  1  6  1  8  1  6  1  1  1  0  1  1  8  1  4  1
 0  1 11  6 13  1  8  1  3  1  6 13  0  1 15 14  1  7  2  0
 0  0 12  0  4  0  0  8  4  4 12  8 12 12 12 12 12 12 12  0
 0  0  0 12  0  0  4 12  4 12 12  4 12 12  4  8  0  8  0  8
 0  0  0  0  8  0  8  8  0  8  8  0  8  0  0  0  0  8  8  8
 0  0  0  0  0  8  0  8  8  8  0  0  8  0  0  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+64x^15+252x^16+544x^17+1864x^18+2968x^19+4998x^20+2992x^21+1872x^22+544x^23+186x^24+48x^25+40x^26+8x^27+2x^28+1x^32

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 32 seconds.