The generator matrix

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

generates a code of length 24 over Z16 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+188x^21+168x^22+464x^23+445x^24+472x^25+144x^26+112x^27+44x^29+8x^30+1x^32+1x^40

The gray image is a code over GF(2) with n=192, k=11 and d=84.
This code was found by Heurico 1.16 in 3.29 seconds.