The generator matrix

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

generates a code of length 98 over GR(16,4) who´s minimum homogenous weight is 290.

Homogenous weight enumerator: w(x)=1x^0+228x^290+168x^291+18x^292+144x^294+144x^295+30x^296+180x^298+72x^299+24x^302+3x^304+3x^308+6x^312+3x^324

The gray image is a code over GF(4) with n=392, k=5 and d=290.
This code was found by Heurico 1.16 in 0.203 seconds.