The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+115x^12+108x^13+262x^14+270x^15+691x^16+1116x^17+1594x^18+6836x^19+10876x^20+6484x^21+1934x^22+1136x^23+544x^24+340x^25+286x^26+76x^27+57x^28+16x^29+20x^30+2x^31+4x^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 3.09 seconds.