The generator matrix

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

generates a code of length 24 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+35x^16+76x^17+188x^18+410x^19+1152x^20+2764x^21+8214x^22+11032x^23+17654x^24+11148x^25+8300x^26+2820x^27+1092x^28+340x^29+184x^30+72x^31+30x^32+8x^33+8x^34+2x^35+4x^36+2x^38

The gray image is a code over GF(2) with n=192, k=16 and d=64.
This code was found by Heurico 1.16 in 9.83 seconds.