The generator matrix

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

generates a code of length 20 over GR(16,4) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+240x^60+15x^64

The gray image is a code over GF(4) with n=80, k=4 and d=60.
This code was found by Heurico 1.16 in 1.01e-007 seconds.