The generator matrix

 1  1  1  1  1  1  1  2  0  1  2  0  2  1  1  1  1  2  1  1
 0  2  0 14  4  6 12  6  2  2 14  2  8  0  4 14 14  0  6  8
 0  0 12  4  4  0  0  0 12  4 12  8  4  0  4  4  4  0  0  4
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  8  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  0  0  8  8  8
 0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  8  8  8  8  8
 0  0  0  0  0  0  8  0  0  8  0  8  8  0  8  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  8  0  0  8  8  0  8  0  8  8  8
 0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+41x^12+56x^13+120x^14+280x^15+434x^16+1200x^17+2948x^18+6648x^19+9291x^20+6656x^21+2964x^22+1224x^23+428x^24+272x^25+108x^26+40x^27+43x^28+8x^29+4x^30+1x^32+1x^36

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 2.06 seconds.