The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1 (a+1)X  1 (a+1)X  1  X  1  1  1  X aX  1  1  1  1  1  1  1 (a+1)X  1  1  1  1  1  0  1  1  1 aX  1  0  1  1  1  1  1  1  1  1  1  1  1  1 aX  1  1  1  1  0  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1 aX  1  1  1  1  1  1  0  1  X  1  1  1 aX  1  X  0  1  1  1
 0  1  0  0  X aX  1 (a+1)X+a a+1  1 (a+1)X+a a+1 (a+1)X+1 (a+1)X+1  1 aX+a  1 aX+a+1  1 (a+1)X+a+1 X+a (a+1)X+a+1  1  1 X+a (a+1)X X+1  X X+1  0  1  1 (a+1)X+a  1  a a+1 X+a+1  1 X+1  X aX+a+1  1 (a+1)X+1  1 (a+1)X+a+1 (a+1)X aX+1 a+1 (a+1)X (a+1)X+a+1 aX+1  0 X+1 aX+a (a+1)X X+1 aX aX+1 aX+a+1 aX+a X+a  1 a+1 aX (a+1)X X+a+1 (a+1)X+a aX+a  0  a X+a  X aX+a+1 (a+1)X+1 (a+1)X+a+1 aX+a+1  X  X  0 (a+1)X (a+1)X+a+1  1  1 X+a+1 (a+1)X+a aX+1  X aX+a  1 (a+1)X+a+1 aX aX+a  1 X+a+1  1  1  a a+1  X
 0  0  1  1 (a+1)X+a (a+1)X+a+1 X+1 aX+1 (a+1)X+1 a+1 aX+a+1 X+a+1  a  0 aX+a aX+a (a+1)X+a+1 (a+1)X+a (a+1)X+1  X  X (a+1)X (a+1)X+a+1 aX+1 X+a+1 aX aX+a (a+1)X+1 aX (a+1)X+a+1 aX+a+1  0 (a+1)X+a aX+a+1 (a+1)X  1 a+1 (a+1)X  1  X aX (a+1)X+a  0 aX+1 aX+a+1  a  0 X+a X+a+1 (a+1)X+1  1 (a+1)X+a X+a+1 aX+a  1  a  1 aX+1 aX (a+1)X aX+1  1 X+a  a  1 (a+1)X+a X+1 (a+1)X+a+1 aX+a+1 X+a aX+1  X  a (a+1)X+a X+a+1 (a+1)X+a aX+1 aX+1 (a+1)X+a  1 (a+1)X (a+1)X+1 X+1 aX+a+1  X aX+a  1 X+a a+1  1  0 (a+1)X a+1  1 X+1  a aX+a aX X+a+1
 0  0  0 (a+1)X  0  0 (a+1)X (a+1)X (a+1)X  0  0  0  X aX (a+1)X  X aX (a+1)X aX  0 (a+1)X (a+1)X  0  0 aX (a+1)X aX aX  0 aX aX  X aX  X  X aX  X aX  X  X  X aX (a+1)X  X aX aX  X aX  X  X aX  X (a+1)X (a+1)X  0  0 aX  0 aX  0  X (a+1)X  X (a+1)X (a+1)X  0  0 (a+1)X (a+1)X  0 aX  0  X  X  0  0 aX  X aX (a+1)X aX  0  X (a+1)X aX aX  0  X  X aX aX  X (a+1)X  0 (a+1)X (a+1)X aX  X (a+1)X

generates a code of length 99 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 284.

Homogenous weight enumerator: w(x)=1x^0+237x^284+480x^285+612x^286+981x^288+1164x^289+924x^290+1353x^292+1296x^293+792x^294+891x^296+972x^297+720x^298+681x^300+852x^301+684x^302+504x^304+588x^305+408x^306+399x^308+348x^309+192x^310+351x^312+264x^313+144x^314+186x^316+144x^317+120x^318+48x^320+36x^321+12x^322

The gray image is a linear code over GF(4) with n=396, k=7 and d=284.
This code was found by Heurico 1.16 in 1.62 seconds.