The generator matrix

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

generates a code of length 99 over GR(16,4) who´s minimum homogenous weight is 290.

Homogenous weight enumerator: w(x)=1x^0+612x^290+468x^291+99x^292+744x^294+552x^295+84x^296+384x^298+240x^299+24x^300+180x^302+96x^303+3x^304+156x^306+72x^307+21x^308+96x^310+36x^311+6x^312+60x^314+12x^315+60x^318+36x^319+12x^320+12x^322+24x^323+6x^328

The gray image is a code over GF(4) with n=396, k=6 and d=290.
This code was found by Heurico 1.16 in 0.781 seconds.