The generator matrix

 1  0  1  1  1  2  0  1  1 12  1  1
 0  1  1  0  3  1  1  8  7  1  6  9
 0  0  2  0  6  4  6  6  4  2  6 10
 0  0  0  2  6  6  6  2  6  4  6 12
 0  0  0  0  8  0  0  8  8  0  0  8
 0  0  0  0  0  8  8  8  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+64x^7+285x^8+1184x^9+4458x^10+14368x^11+24805x^12+14368x^13+4492x^14+1184x^15+250x^16+64x^17+10x^18+3x^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 1.98 seconds.