The generator matrix

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

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+383x^8+1224x^9+3755x^10+16076x^11+22369x^12+16016x^13+3709x^14+1268x^15+412x^16+104x^17+41x^18+4x^19+3x^20

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 1.29 seconds.