The generator matrix

 1  0  1  1  1 14  1  1  1  1  0  0
 0  1 11  6  5  1  0  0  3  3  1  1
 0  0 12  0  4  0  4 12  0  8  0  8
 0  0  0 12  4  4  4  0  0  8  8  8
 0  0  0  0  8  0  0  0  8  8  8  0
 0  0  0  0  0  8  0  0  8  0  8  0
 0  0  0  0  0  0  8  0  8  8  8  8
 0  0  0  0  0  0  0  8  8  8  0  0

generates a code of length 12 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+79x^6+444x^8+1408x^9+2858x^10+14976x^11+25994x^12+14976x^13+2880x^14+1408x^15+435x^16+70x^18+6x^20+1x^22

The gray image is a code over GF(2) with n=96, k=16 and d=24.
This code was found by Heurico 1.16 in 2.33 seconds.