The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2 12  1  2  1 12  1  4  2  4  1  4  1
 0  2  0  2  0  8  6  4  6  4 12 10  2  6  0 12  2 10 12  6 12  2  2  0
 0  0  2  2 12 14  6 12  8  2  8  6  6  0  6 12  0  4  2  8  2 10 10  0
 0  0  0  8  0  0  0  8  8  8  0  0  8  0  8  8  8  8  0  8  0  0  0  0
 0  0  0  0  8  8  0  0  8  0  8  0  0  8  0  8  8  0  8  0  0  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+132x^20+244x^21+588x^22+536x^23+1184x^24+528x^25+490x^26+200x^27+132x^28+28x^29+24x^30+7x^32+2x^34

The gray image is a code over GF(2) with n=192, k=12 and d=80.
This code was found by Heurico 1.16 in 0.0917 seconds.