The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+294x^8+548x^9+1858x^10+3312x^11+4330x^12+3288x^13+2004x^14+496x^15+205x^16+36x^17+10x^18+2x^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 47.8 seconds.