The generator matrix

 1  0  1  1  1  2  1  1 12  1  1 14
 0  1  1  4  3  1 10 13  1  6 15  1
 0  0  2 10  8 10  6  4 14  0 14  4

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

Homogenous weight enumerator: w(x)=1x^0+246x^10+384x^11+800x^12+384x^13+216x^14+15x^16+2x^18

The gray image is a code over GF(2) with n=96, k=11 and d=40.
This code was found by Heurico 1.16 in 1.57 seconds.