The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1
 0  8  0  0  0  0  0  0  0  0  8  0
 0  0  8  0  0  0  0  0  0  0  8  0
 0  0  0  8  0  0  0  0  0  0  8  0
 0  0  0  0  8  0  0  0  0  0  8  0
 0  0  0  0  0  8  0  0  0  0  8  0
 0  0  0  0  0  0  8  0  0  0  8  0
 0  0  0  0  0  0  0  8  0  0  8  0
 0  0  0  0  0  0  0  0  8  0  8  0
 0  0  0  0  0  0  0  0  0  8  8  0

generates a code of length 12 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+45x^4+10x^6+210x^8+120x^10+512x^11+6354x^12+512x^13+252x^14+45x^16+120x^18+1x^20+10x^22

The gray image is a code over GF(2) with n=96, k=13 and d=16.
This code was found by Heurico 1.16 in 0.0257 seconds.