The generator matrix

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

generates a code of length 6 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+21x^4+98x^5+277x^6+92x^7+18x^8+2x^9+3x^10

The gray image is a code over GF(2) with n=48, k=9 and d=16.
This code was found by Heurico 1.16 in 0.00032 seconds.