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

generates a code of length 99 over GR(16,4) who´s minimum homogenous weight is 288.

Homogenous weight enumerator: w(x)=1x^0+24x^288+48x^291+84x^292+288x^295+60x^296+432x^299+36x^300+24x^304+12x^308+3x^320+9x^324+3x^388

The gray image is a code over GF(4) with n=396, k=5 and d=288.
This code was found by Heurico 1.16 in 0.187 seconds.