The generator matrix

 1  0  0  1  1  1  2  1  1 14 14  1 10  1  4 12  1  1  0  1  1  1  1  2
 0  1  0  2  9  7  1 15  8  1 10 15  1 14  6  1  6 13  1 11  5 14  1 10
 0  0  1  1  1  2  5  9  3  3  1  4  2  6  1 13  3 10 10 13  6  6 11  1
 0  0  0  4 12  8  4 12 12  4  8  4 12  4 12  8  0  4  8  0  0 12  0  0

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

Homogenous weight enumerator: w(x)=1x^0+252x^20+912x^21+2022x^22+3112x^23+3879x^24+3176x^25+1840x^26+824x^27+286x^28+40x^29+34x^30+6x^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 0.747 seconds.