The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^12+16x^13+64x^14+112x^15+618x^16+336x^17+448x^18+3632x^19+5728x^20+3632x^21+448x^22+336x^23+648x^24+112x^25+64x^26+16x^27+64x^28+13x^32

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 0.719 seconds.