The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+97x^4+338x^5+1181x^6+332x^7+94x^8+2x^9+3x^10

The gray image is a code over GF(2) with n=48, k=11 and d=16.
This code was found by Heurico 1.16 in 0.016 seconds.