The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  1
 0  2  0  2  0 12 10  6  4  0  4  0
 0  0  2  2  0  2 14  4  2  6  2  0
 0  0  0  4 12 12  0  4  0  8  0  0
 0  0  0  0  8  0  0  8  0  8  8  0
 0  0  0  0  0  8  0  8  8  0  0  0
 0  0  0  0  0  0  8  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+47x^6+124x^7+375x^8+1164x^9+1875x^10+5880x^11+13841x^12+5880x^13+1869x^14+1164x^15+372x^16+124x^17+49x^18+3x^20

The gray image is a code over GF(2) with n=96, k=15 and d=24.
This code was found by Heurico 1.16 in 0.402 seconds.