The generator matrix

 1  0  1  1  1  6  1  1  1  1 12  1
 0  1  3  6  5  1 12 10 15  9  1  0
 0  0  8  8  0  8  8  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+25x^10+184x^11+90x^12+184x^13+26x^14+1x^16+1x^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 0.000975 seconds.