The generator matrix

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

generates a code of length 6 over Z16 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+22x^3+82x^4+330x^5+1180x^6+330x^7+77x^8+22x^9+4x^10

The gray image is a code over GF(2) with n=48, k=11 and d=12.
This code was found by Heurico 1.16 in 0.000907 seconds.