The generator matrix

 1  1  1  1  2  1  1  1  1  2  2  1
 0  2  0  6  6  0  6  4 14  6  6  0
 0  0 12  0  0 12 12  8  4  0  8  0
 0  0  0 12  0 12  4 12  8  8  8  0
 0  0  0  0  8  0  0  0  0  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+34x^8+208x^9+155x^10+688x^11+1920x^12+688x^13+163x^14+208x^15+29x^16+1x^18+1x^22

The gray image is a code over GF(2) with n=96, k=12 and d=32.
This code was found by Heurico 1.16 in 0.0255 seconds.