The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^16+182x^17+268x^18+380x^19+869x^20+1638x^21+3518x^22+5970x^23+6864x^24+5970x^25+3636x^26+1738x^27+830x^28+370x^29+240x^30+102x^31+59x^32+32x^33+16x^34+2x^35+5x^36+2x^38

The gray image is a code over GF(2) with n=192, k=15 and d=64.
This code was found by Heurico 1.16 in 5.5 seconds.