The generator matrix

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

generates a code of length 12 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+105x^6+80x^7+526x^8+784x^9+6628x^10+13472x^11+22380x^12+13472x^13+6526x^14+784x^15+633x^16+80x^17+52x^18+12x^20+1x^22

The gray image is a code over GF(2) with n=96, k=16 and d=24.
This code was found by Heurico 1.16 in 1.15 seconds.