The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+490x^20+160x^21+1344x^22+864x^23+2526x^24+864x^25+1296x^26+160x^27+430x^28+48x^30+9x^32

The gray image is a code over GF(2) with n=192, k=13 and d=80.
This code was found by Heurico 1.16 in 44.6 seconds.