The generator matrix

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

generates a code of length 6 over Z16 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+78x^2+288x^3+1215x^4+5600x^5+18404x^6+5600x^7+1215x^8+288x^9+78x^10+1x^12

The gray image is a code over GF(2) with n=48, k=15 and d=8.
This code was found by Heurico 1.16 in 0.121 seconds.