The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^16+88x^17+124x^18+242x^19+374x^20+504x^21+1312x^22+3288x^23+4440x^24+3196x^25+1412x^26+572x^27+352x^28+228x^29+88x^30+56x^31+41x^32+12x^33+8x^34+2x^35+2x^36+4x^37

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 1.55 seconds.