The generator matrix

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

generates a code of length 98 over GR(16,4) who´s minimum homogenous weight is 282.

Homogenous weight enumerator: w(x)=1x^0+828x^282+732x^283+156x^284+1896x^286+1416x^287+183x^288+1644x^290+960x^291+210x^292+1368x^294+996x^295+207x^296+1272x^298+828x^299+84x^300+924x^302+456x^303+81x^304+588x^306+384x^307+66x^308+480x^310+300x^311+21x^312+180x^314+72x^315+12x^316+36x^318+3x^320

The gray image is a code over GF(4) with n=392, k=7 and d=282.
This code was found by Heurico 1.16 in 82.8 seconds.