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.