The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  1  0  1  6  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  6  3  1  5  1 12  6 15  5 10  6
 0  0  8  0  0  0  0  8  0  8  8  8  0  8  0  0  8  8  0  0  8  0  0  8
 0  0  0  8  0  0  8  8  0  8  0  8  0  8  8  8  0  0  8  8  0  0  0  0
 0  0  0  0  8  0  8  0  8  8  8  8  0  0  8  0  8  0  0  8  8  8  0  8
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  0  8  8  0  0  8  0  8  8  8

generates a code of length 24 over Z16 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+101x^20+64x^21+704x^22+576x^23+1212x^24+576x^25+704x^26+64x^27+82x^28+11x^32+1x^36

The gray image is a code over GF(2) with n=192, k=12 and d=80.
This code was found by Heurico 1.16 in 0.0897 seconds.