The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+432x^20+192x^21+1616x^22+320x^23+3148x^24+320x^25+1504x^26+192x^27+432x^28+16x^30+19x^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 14.3 seconds.