The generator matrix

 1  1  1  1  2  1
 0 12  0  0 12  0
 0  0 12  0 12  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+28x^2+16x^3+71x^4+240x^5+1336x^6+240x^7+71x^8+16x^9+28x^10+1x^12

The gray image is a code over GF(2) with n=48, k=11 and d=8.
This code was found by Heurico 1.16 in 0.00101 seconds.