The generator matrix

 1  0  0  1  2  1
 0  1  0  1  0  0
 0  0  1  1  0  0
 0  0  0 12 12  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+100x^2+520x^3+1559x^4+5880x^5+16648x^6+5880x^7+1559x^8+520x^9+100x^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 0.0668 seconds.