The generator matrix

 1  0  0  1  1  1 14  1  1  1  1  1
 0  1  0  1  6 15  1  3  3  4 12  8
 0  0  1  1 11  2  3  3  3  6  5  0
 0  0  0 12  0  0  8  4  0  4 12  8
 0  0  0  0 12  4 12  4  8  8  4 12

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

Homogenous weight enumerator: w(x)=1x^0+42x^7+214x^8+1194x^9+4829x^10+14406x^11+24221x^12+14316x^13+4826x^14+1246x^15+203x^16+26x^17+9x^18+2x^19+1x^20

The gray image is a code over GF(2) with n=96, k=16 and d=28.
This code was found by Heurico 1.16 in 2.07 seconds.