The generator matrix

 1  0  1  1  1 12  2  1  6  1  4  6
 0  1  1  0 11  1  2  3  1  4  1  1
 0  0  2  6  0  2  2  2  8  2  2  6
 0  0  0 12  0  0  0  8  4 12  8 12
 0  0  0  0 12 12  8 12 12 12  8 12

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

Homogenous weight enumerator: w(x)=1x^0+248x^8+500x^9+2910x^10+6416x^11+12584x^12+6424x^13+3004x^14+464x^15+187x^16+20x^17+6x^18+4x^20

The gray image is a code over GF(2) with n=96, k=15 and d=32.
This code was found by Heurico 1.16 in 3.02 seconds.