The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^2+432x^3+1479x^4+5072x^5+18616x^6+5072x^7+1479x^8+432x^9+92x^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 0.0812 seconds.