The generator matrix

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

generates a code of length 71 over GR(16,4) who´s minimum homogenous weight is 204.

Homogenous weight enumerator: w(x)=1x^0+33x^204+33x^208+66x^212+768x^213+78x^216+42x^220+3x^284

The gray image is a code over GF(4) with n=284, k=5 and d=204.
This code was found by Heurico 1.16 in 0.063 seconds.