The generator matrix

 1  1  1  1  2  1  8  1  2  1  1  4
 0  2  0  6  2  0  2 14  6  4 10 12
 0  0 12  0  0  0  4  8  4  0 12  4
 0  0  0 12  0  0 12  8  4  4  0  8
 0  0  0  0  4 12 12  4  0  8 12  4
 0  0  0  0  0  8  8  8  8  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+185x^8+466x^9+1534x^10+3558x^11+4733x^12+3588x^13+1588x^14+472x^15+134x^16+42x^17+14x^18+6x^19+3x^20

The gray image is a code over GF(2) with n=96, k=14 and d=28.
This code was found by Heurico 1.16 in 0.943 seconds.