The generator matrix

 1  1  1  1  1  1  1  1  2  2  1  1
 0 12  0  0  0  4 12  4  8  8  0  0
 0  0 12  0  4  4 12  0  0  8  4  4
 0  0  0 12  4  0 12  4  4 12  4  4
 0  0  0  0  8  0  0  0  0  8  8  8
 0  0  0  0  0  8  0  0  8  8  8  8
 0  0  0  0  0  0  8  0  8  8  8  0
 0  0  0  0  0  0  0  8  8  0  8  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+348x^8+1450x^10+12618x^12+1472x^14+339x^16+70x^18+6x^20+1x^22

The gray image is a code over GF(2) with n=96, k=14 and d=24.
This code was found by Heurico 1.16 in 1.75 seconds.