The generator matrix

 1  1  1  1  1  1  1  1  2  1  1  1
 0  2  0  0  0 10 14  2 10  4  4  8
 0  0  2  0  2 10  2  4  0  2  4  0
 0  0  0  2  2 12  6  6  6  6  6  4
 0  0  0  0  8  0  0  0  0  8  8  8
 0  0  0  0  0  8  0  0  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+68x^7+292x^8+852x^9+1741x^10+5480x^11+15892x^12+5480x^13+1767x^14+852x^15+263x^16+68x^17+11x^18+1x^22

The gray image is a code over GF(2) with n=96, k=15 and d=28.
This code was found by Heurico 1.16 in 0.772 seconds.