The generator matrix

 1  1  1  1  1  1  1  1  2  0  1  1  2  2  1  1  2  2  0  1
 0  2  0  6  4  6 12 14  6  2  2  0 14  6  6  4 10 10  0  8
 0  0 12  0  4  0  8  4 12 12 12  4  0  8 12  8  4  0  0  4
 0  0  0 12  0  0  0  8  4  4  8  4  4  8 12  4 12  0  4  0
 0  0  0  0  8  0  0  8  8  8  0  0  8  8  0  0  0  8  8  8
 0  0  0  0  0  8  8  0  8  0  8  8  0  0  8  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+74x^15+234x^16+416x^17+852x^18+1554x^19+1936x^20+1568x^21+856x^22+414x^23+188x^24+64x^25+20x^26+6x^27+8x^28+1x^32

The gray image is a code over GF(2) with n=160, k=13 and d=60.
This code was found by Heurico 1.16 in 47.3 seconds.