The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  2  2  1  1  4  1  1  4  1  2  4  1  1
 0 12  0  4  0  0  4 12  0  8  4 12  4 12  4  0  8 12  4  8  0  4  0  0
 0  0 12  4  0 12  4  0  0  4  4  0  4  8 12 12  4  0  4  4 12 12  0  0
 0  0  0  8  0  0  0  0  0  0  8  0  0  0  8  8  0  0  8  8  8  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  0  8  0  8  8  8  0  0  0  0
 0  0  0  0  0  8  0  0  0  8  8  0  0  0  8  0  8  8  8  0  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  8  8  0  8  0  0  0  8  8  8  8  0  0  8
 0  0  0  0  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  0  8  8  0  8
 0  0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  0  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+66x^16+52x^17+126x^18+184x^19+247x^20+1128x^21+877x^22+3752x^23+3504x^24+3744x^25+900x^26+1160x^27+238x^28+184x^29+122x^30+24x^31+37x^32+12x^33+22x^34+3x^36+1x^38

The gray image is a code over GF(2) with n=192, k=14 and d=64.
This code was found by Heurico 1.16 in 1.36 seconds.