The generator matrix

 1  1  1  1  1  1  1  2  1  2  2  2
 0 12  0  0  0  4  0  8 12  4  4  8
 0  0 12  0  0  4  0 12  4  8  4  4
 0  0  0 12  0  4  4  4  8  8  8 12
 0  0  0  0 12  4  4  0  0 12  8  4
 0  0  0  0  0  8  8  8  0  8  8  0

generates a code of length 12 over Z16 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+60x^7+137x^8+210x^9+446x^10+742x^11+4957x^12+772x^13+500x^14+216x^15+86x^16+42x^17+14x^18+6x^19+3x^20

The gray image is a code over GF(2) with n=96, k=13 and d=28.
This code was found by Heurico 1.16 in 0.221 seconds.