The generator matrix

 1  1  1  1  1  1  2  0  1  1  2 12  1  1  2  0  1  1  1  1
 0  2 12  6  0  6  6  2 12 10 10  2  0  6  6  2 12  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  0  8  8  8  8  0  8
 0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  0  0  8  8
 0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  8  0  8  0  8
 0  0  0  0  0  0  0  8  0  8  8  8  0  8  0  0  0  0  0  8
 0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+24x^12+8x^13+70x^14+56x^15+217x^16+680x^17+1728x^18+3864x^19+3088x^20+3864x^21+1721x^22+680x^23+238x^24+56x^25+56x^26+8x^27+16x^28+8x^30+1x^38

The gray image is a code over GF(2) with n=160, k=14 and d=48.
This code was found by Heurico 1.16 in 0.543 seconds.