The generator matrix

 1  0  0  1  1  1  6  1  1 12  1  1
 0  1  0  1  6  7  1 11  2  1  8  0
 0  0  1  1  3  2  3  3  5  2  0  0
 0  0  0 12  0  0  8  4  4  4 12  0
 0  0  0  0  8  0  8  0  8  0  0  8
 0  0  0  0  0  8  0  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+58x^7+220x^8+1172x^9+5288x^10+12334x^11+27382x^12+12344x^13+5296x^14+1174x^15+203x^16+52x^17+8x^18+2x^19+2x^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 1.65 seconds.