The generator matrix

 1  0  1  2  1  1  1  1 2a  1  1 2a+2  1  1  1  1
 0  1  2  1 2a+3 2a+1 2a  3  1 2a+2  1  1  a a+2 3a 3a+2

generates a code of length 16 over GR(16,4) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+252x^48+3x^64

The gray image is a code over GF(4) with n=64, k=4 and d=48.
This code was found by Heurico 1.16 in 3.24e-008 seconds.