The generator matrix

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

generates a code of length 12 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+56x^10+144x^11+152x^12+96x^13+36x^14+16x^15+7x^16+4x^18

The gray image is a code over GF(2) with n=96, k=9 and d=40.
This code was found by Heurico 1.16 in 0.00211 seconds.