The generator matrix

 1  0  1  1  1  4  2  1  1  1  1  1
 0  1  1  0 11  1  2  3 10  2 11  9
 0  0  2  6  4  6  2  4  6 14  8  2
 0  0  0 12  0  4  8  4  0  4  8 12
 0  0  0  0  8  0  0  0  8  8  8  0

generates a code of length 12 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+69x^8+456x^9+1216x^10+3104x^11+6651x^12+3184x^13+1208x^14+416x^15+62x^16+8x^17+8x^18+1x^20

The gray image is a code over GF(2) with n=96, k=14 and d=32.
This code was found by Heurico 1.16 in 0.284 seconds.