The generator matrix

 1  0  1  1  1 10  1  1 14  1  1  6 10  1  1  2  1  1  2  4  1  1  1  1
 0  1  1  0  3  1  8 11  1 10  3  1  1 10  6  1  2  4  1  1  5 11  9 13
 0  0  2  0 14  8  2 12  2 14  4  6  4 10  4 14  0 10 14  4 10  8  2  4
 0  0  0  2 14 14 14  8  6  0 10  8  2 10 12 14 10  8 12 12  2  2 12  0

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

Homogenous weight enumerator: w(x)=1x^0+530x^20+512x^21+1792x^22+3584x^23+3566x^24+3584x^25+1808x^26+512x^27+438x^28+48x^30+9x^32

The gray image is a code over GF(2) with n=192, k=14 and d=80.
This code was found by Heurico 1.16 in 82.4 seconds.