The generator matrix

 1  1  1  1  1  1  1  1  2  1  2  2  4  1  2  4  2  2  1  1
 0 12  0  0  0  4 12  4  0  0  8  4 12  8  8  8  0  0 12  4
 0  0 12  0  4  4 12  0  0  8 12  0  4  4  4  4  0  4  8  4
 0  0  0 12  4  0 12  4 12  8  4  4  4  0  8  0 12  4  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  0  8  0  8  0  8
 0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  0  0  0  8  8
 0  0  0  0  0  0  0  8  0  8  8  8  0  8  0  0  8  0  0  0
 0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  0  8  0

generates a code of length 20 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+54x^12+82x^13+274x^14+368x^15+602x^16+1232x^17+2896x^18+6496x^19+8676x^20+6516x^21+2996x^22+1264x^23+592x^24+352x^25+224x^26+64x^27+54x^28+10x^29+10x^30+5x^32

The gray image is a code over GF(2) with n=160, k=15 and d=48.
This code was found by Heurico 1.16 in 2.73 seconds.