The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^4+128x^5+180x^6+128x^7+33x^8+4x^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 0.00043 seconds.