The generator matrix

 1  0  1  1  1  6  1  1  1  0  1 10 14  1  1 12  1  1  2  1 12  1  1  1
 0  1 11  6 13  1 12  2 11  1  5  1  1 15  6  1  0  1  1  3  1  1 13  5
 0  0 12  0  4  8  0  0  0  4  4  8  0  0 12  8 12 12  8  4 12  0 12  8
 0  0  0 12  0  8  8 12  4  4  4  0  4  0  4  8  4  0 12  4  4  4  0  8
 0  0  0  0  8  8  8  8  0  8  0  8  0  8  8  0  0  8  8  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+229x^20+128x^21+1412x^22+1152x^23+2368x^24+1152x^25+1400x^26+128x^27+202x^28+4x^30+15x^32+1x^36

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 0.352 seconds.