The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  8  1  1  0  1  4  1  1  2  1  2  2  0
 0  2  0  6  4 14 12  2  0  6  6  2  8 12  2 10  2  2 14 14 12  2  6  2
 0  0 12  0  4  4  8  4  0  8  8  4 12  8  8  8 12  4  4 12  4 12  0  0
 0  0  0  8  0  0  8  0  0  8  0  8  0  8  8  0  0  8  8  8  0  0  8  0
 0  0  0  0  8  0  0  8  8  8  8  0  0  0  8  0  8  0  0  0  0  8  8  8
 0  0  0  0  0  8  0  8  0  0  0  8  8  8  8  8  0  0  8  8  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+231x^20+128x^21+448x^22+896x^23+700x^24+896x^25+448x^26+128x^27+206x^28+11x^32+3x^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 4.59 seconds.