The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1
 0  2 12  6  0  6 12 10  8 14  6  0
 0  0  8  8  8  0  0  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+19x^10+40x^11+135x^12+40x^13+20x^14+1x^22

The gray image is a code over GF(2) with n=96, k=8 and d=40.
This code was found by Heurico 1.16 in 0.000875 seconds.