The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^16+166x^17+372x^18+810x^19+1557x^20+3294x^21+6987x^22+12058x^23+14869x^24+12118x^25+6967x^26+3458x^27+1591x^28+722x^29+321x^30+118x^31+46x^32+20x^33+9x^34+4x^35+8x^36

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 16 seconds.