The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^10+390x^12+60x^14+1x^24

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 0.0045 seconds.