The generator matrix

 1  0  0  1  1  1  6  1  1  1  1  1
 0  1  0  1  6  7  1  0  2  6  0  0
 0  0  1  1  3  2  3  6  2  0  0  0
 0  0  0  8  0  0  0  8  8  0  0  0
 0  0  0  0  8  0  0  8  8  8  0  0
 0  0  0  0  0  8  0  8  0  8  0  0
 0  0  0  0  0  0  8  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+35x^6+192x^7+497x^8+1280x^9+5087x^10+11328x^11+28691x^12+11328x^13+5097x^14+1280x^15+498x^16+192x^17+21x^18+9x^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 0.788 seconds.