The generator matrix

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

generates a code of length 12 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+63x^6+236x^7+759x^8+2108x^9+4547x^10+11992x^11+26129x^12+11992x^13+4541x^14+2108x^15+756x^16+236x^17+65x^18+3x^20

The gray image is a code over GF(2) with n=96, k=16 and d=24.
This code was found by Heurico 1.16 in 1.44 seconds.