The generator matrix

 1  1  1  1  2  1  1  2  2  1  1  1
 0 12  0 12 12  0 12 12 12  0  0 12
 0  0  8  0  0  0  0  0  0  8  0  8
 0  0  0  8  0  0  0  0  8  8  0  8
 0  0  0  0  8  0  0  0  8  0  0  8
 0  0  0  0  0  8  0  0  0  8  8  8
 0  0  0  0  0  0  8  0  8  8  0  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+17x^6+8x^7+54x^8+136x^9+108x^10+368x^11+2708x^12+368x^13+118x^14+136x^15+49x^16+8x^17+12x^18+4x^20+1x^22

The gray image is a code over GF(2) with n=96, k=12 and d=24.
This code was found by Heurico 1.16 in 0.0137 seconds.