The generator matrix

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

generates a code of length 98 over GR(16,4) who´s minimum homogenous weight is 281.

Homogenous weight enumerator: w(x)=1x^0+276x^281+588x^282+516x^283+291x^284+972x^285+924x^286+756x^287+312x^288+972x^289+1008x^290+720x^291+363x^292+1104x^293+852x^294+576x^295+324x^296+624x^297+600x^298+468x^299+213x^300+528x^301+624x^302+360x^303+153x^304+408x^305+480x^306+228x^307+60x^308+300x^309+180x^310+156x^311+42x^312+168x^313+108x^314+36x^315+30x^316+24x^317+12x^318+24x^319+3x^324

The gray image is a code over GF(4) with n=392, k=7 and d=281.
This code was found by Heurico 1.16 in 1.83 seconds.