The generator matrix

 1  1  1  1  2  2  1  1  1  1  1  1
 0 12  0 12 12 12  0  0  0  0  0  0
 0  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

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

Homogenous weight enumerator: w(x)=1x^0+74x^4+64x^6+719x^8+2496x^10+26060x^12+2496x^14+719x^16+64x^18+74x^20+1x^24

The gray image is a code over GF(2) with n=96, k=15 and d=16.
This code was found by Heurico 1.16 in 0.424 seconds.